1. Journal Of Differential Geometry Home Page ©Lehigh University ISSN 0022040X. http://www.intlpress.com/journals/JDG/

©Lehigh University ISSN 0022-040X International Press presents Journal of Differential Geometry About the Journal of Differential Geometry How do I subscribe? Who is involved in the JDG? ... License

2. DG Differential Geometry differential geometry section of the mathematics eprint arXiv. http://front.math.ucdavis.edu/math.DG

Fri 4 Jun 2004 Search Submit Retrieve Subscribe ... iFAQ DG Differential Geometry Calendar Search Authors: All AB CDE FGH ... U-Z New articles (last 12) 4 Jun math.DG/0406051 Zero entropy and bounded topology. Gabriel P. Paternain , Jimmy Petean DG DS 3 Jun math.DG/0406039 Curvature of Multiply Warped Products. Fernando Dobarro , Bulent Unal . 25 pages. DG MP 3 Jun math.DG/0406029 Bando-Futaki Invariants on Hypersurfaces. Chiung-ju Liu . 23 pages. DG 2 Jun math.DG/0406021 Geometrie affine Geometrie symplectique. Tsemo Aristide DG Cross-listings 4 Jun math.SG/0406069 Connected Components of the Space of Surface Group Representations II. Nan-Kuo Ho , Chiu-Chu Melissa Liu . 8 pages. SG DG 4 Jun math.GT/0406056 Thurston's bending measure conjecture for once punctured torus groups. Caroline Series . 13 pages. GT DG 4 Jun math.FA/0406054 Special Standard Static Space-Times. Fernando Dobarro , Bulent Unal . 16 pages. FA AP DG 3 Jun math.AP/0406028 S.-Y. Alice Chang , Zheng-Chao Han , Paul Yang AP DG 3 Jun math.AP/0406027 Zheng-Chao Han AP DG 3 Jun math-ph/0406006 A Note on Positive Energy Theorem for Spaces with Asymptotic SUSY Compactification. Xianzhe Dai MP DG Revisions 3 Jun math.DG/0311098

3. Notes For The Course In Differential Geometry differential geometry. These notes are from the course given in WIS in 19921993 academic year Hicks, Notes on differential geometry, Van Nostrand. B http://www.wisdom.weizmann.ac.il/~yakov/Geometry

Lecture notes for the course in Differential Geometry These notes are from the course given in WIS in 1992-1993 academic year. Mostly they constitute a collection of definitions, formulations of most important theorems and related problems for self-control. Since that time, in 1996, I changed the order of exposition. Therefore the logical structure is not the same. Anyhow, I hope that these notes can still be useful for self-control. The general rule is always the same: if you do understand the problem, try to solve it. If you don't - disregard it The problems for exam are here First semester 1. Introduction to manifolds. Topolgical spaces, exotic topologies. Constructions (Cartesian product, quotient space, metric compatible with topology etc). Differentiable mappings of the Euclidean n-space. Diffeomorphisms. Definition of a smooth manifold. 1a. Supplement to Lecture 1. Matrix manifolds. Partitions of unity. Whitney (weak) embedding theorem. 2. Tangent vectors. Tangent bundle. Definition via classes of first-order-equivalent curves. Tangent maps (differentials of diffeomorphisms). Vector fields. Action of diffeomorphisms on vector fields. 3. Algebra of vector fields. Lie derivatives.

4. 53: Differential Geometry 53 differential geometry. Introduction. differential geometry is the language of modern physics as well What is differential geometry; how does it differ from differential topology http://www.math.niu.edu/~rusin/known-math/index/53-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 53: Differential geometry Introduction Differential geometry is the language of modern physics as well as an area of mathematical delight. Typically, one considers sets which are manifolds (that is, locally resemble Euclidean space) and which come equipped with a measure of distances. In particular, this includes classical studies of the curvature of curves and surfaces. Local questions both apply and help study differential equations; global questions often invoke algebraic topology. History See e.g. Berger, M. "Riemannian geometry during the second half of the twentieth century", Jahresber. Deutsch. Math.-Verein. 100 (1998), no. 2, 45208. CMP1637246 Applications and related fields For differential topology, See 57RXX. For foundational questions of differentiable manifolds, See 58AXX Geometry of spheres is in the sphere FAQ . There is a separate section for detailed information about 52A55: Spherical Geometry A metric in the sense of differential geometry is only loosely related to the idea of a metric on a metric space Subfields Classical differential geometry Local differential geometry Global differential geometry, see also 51H25, 58-XX; for related bundle theory, See 55RXX, 57RXX

5. Mathematics Archives - Topics In Mathematics - Differential Geometry Topics in Mathematics. differential geometry. AMS's Materials Organized by Mathematical Subject Classification. ADD. KEYWORDS Electronic Journals, Preprints, Web Sites, Databases. The Atlas of Harmonic Morphisms. ADD. surface, surfaces of revolution and canal surfaces. differential geometry and its Applications KEYWORDS Journal. differential geometry and Quantum Physics, SFB 288, TU Berlin http://archives.math.utk.edu/topics/differentialGeom.html

Topics in Mathematics Differential Geometry AMS's Materials Organized by Mathematical Subject Classification ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases The Atlas of Harmonic Morphisms ADD. KEYWORDS: Bibliography, Open Problems, Classifications Boy's Surface Center for Geometry, Analysis, Numerics, and Graphics (GANG) ADD. KEYWORDS: Surfaces, knots, research papers, software Center for Gravitational Physics and Geometry ADD. KEYWORDS: Meetings, People, Journals, Preprints Cusps of Gauss Mappings ADD. KEYWORDS: the shoe surface, Menn's surface, the perturbed monkey saddle, the handkerchief surface, surfaces of revolution and canal surfaces Differential Geometry and its Applications ADD. KEYWORDS: Journal Differential Geometry and Quantum Physics , SFB 288, TU Berlin DOCUMENTA MATHEMATICA - Extra Volume ICM 1998 - Section: 5. Differential Geometry and Global Analysis ADD. KEYWORDS: Articles SOURCE: DOCUMENTA MATHEMATICA, Proceedings of the International Congress of Mathematicians TECHNOLOGY: Postscript and DVI readers Elementary Differential Geometry: Curves and Surfaces ADD. KEYWORDS:

6. GANG | Geometry Analysis Numerics Graphics The Center is an interdisciplinary differential geometry research team in the Dept of Mathematics Statistics at the University of UMass Amherst. http://www.gang.umass.edu

The GANG Gallery of Constant Mean Curvature Surfaces The GANG Gallery of Willmore Surfaces The GANG Gallery of Minimal Surfaces The GANG Gallery of Pseudospherical Surfaces Summer REU program at GANG

7. Notes On Differential Geometry By B. Csikós Notes by Bal¡zs Csik³s. Chapters in PostScript. http://www.cs.elte.hu/geometry/csikos/dif/dif.html

Differential Geometry Budapest Semesters in Mathematics Lecture Notes by Balázs Csikós FAQ: How to read these files? Answer: The files below are postscript files compressed with gzip . First decompress them by gunzip , then you can print them on any postscript printer, or you can use ghostview to view them and print selected (or all) pages on any printer. CONTENTS Unit 1. Basic Structures on R n , Length of Curves. Addition of vectors and multiplication by scalars, vector spaces over R, linear combinations, linear independence, basis, dimension, linear and affine linear subspaces, tangent space at a point, tangent bundle; dot product, length of vectors, the standard metric on R n ; balls, open subsets, the standard topology on R n , continuous maps and homeomorphisms; simple arcs and parameterized continuous curves, reparameterization, length of curves, integral formula for differentiable curves, parameterization by arc length. Unit 2. Curvatures of a Curve Convergence of k-planes, the osculating k-plane, curves of general type in R n , the osculating flag, vector fields, moving frames and Frenet frames along a curve, orientation of a vector space, the standard orientation of R n , the distinguished Frenet frame, Gram-Schmidt orthogonalization process, Frenet formulas, curvatures, invariance theorems, curves with prescribed curvatures.

8. Natural Operations In Differential Geometry Natural operations in differential geometry by Ivan Kolar, Jan Slovak and Peter W. Michor published by SpringerVerlag in 1993. DVI, PostScript and PDF. http://rattler.cameron.edu/EMIS/monographs/KSM/

The Electronic Library of Mathematics Mathematical Monographs For fastest access: Choose your nearest mirror site! Natural operations in differential geometry by Ivan Kolar, Jan Slovak and Peter W. Michor Paper version originally published by Springer-Verlag, Berlin, Heidelberg, New York, 1993 ISBN 3-540-56235-4 (Germany) Download the whole book as one file: HYPER-DVI ] (838,207 bytes) Postscript ] (1,330,587 bytes) PDF ] (2,945,143 bytes) The aim of this book is threefold: First it should be a monographical work on natural bundles and natural operators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Second this book tries to be a rather comprehensive textbook on all basic structures from the theory of jets which appear in different branches of differential geometry. Even though Ehresmann in his original papers from 1951 underlined the conceptual meaning of the notion of an $r$-jet for differential geometry, jets have been mostly used as a purely technical tool in certain problems in the theory of systems of partial differential equations, in singularity theory, in variational calculus and in higher order mechanics. But the theory of natural bundles and natural operators clarifies once again that jets are one of the fundamental concepts in differential geometry, so that a thorough treatment of their basic properties plays an important role in this book. We also demonstrate that the central concepts from the theory of connections can very conveniently be formulated in terms of jets, and that this formulation gives a very clear and geometric picture of their properties.

9. Differential Geometry Page Contains several figures which are the result of easy codes using Mathematica, including Enneper's surface. http://math.bu.edu/people/carlosm/Diffeo.html

Differential Geometry Page This page contains a few figures which are the result of easy codes using Mathematica. Enneper's Surface Torus

10. Differential Gometry And General Relativity Online introduction to differential geometry and general relativity. Introduction to differential geometry and General Relativity. http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.html

Introduction to Differential Geometry and General Relativity Lecture Notes by Stefan Waner, Department of Mathematics, Hofstra University These notes are dedicated to the memory of Hanno Rund. TABLE OF CONTENTS 1. Preliminaries: Distance, Open Sets, Parametric Surfaces and Smooth Functions 2. Smooth Manifolds and Scalar Fields 3. Tangent Vectors and the Tangent Space 4. Contravariant and Covariant Vector Fields ... Download the latest version of the differential geometry/relativity notes in PDF format References and Suggested Further Reading (Listed in the rough order reflecting the degree to which they were used) Bernard F. Schutz, A First Course in General Relativity (Cambridge University Press, 1986) David Lovelock and Hanno Rund, Tensors, Differential Forms, and Variational Principles (Dover, 1989) Charles E. Weatherburn, An Introduction to Riemannian Geometry and the Tensor Calculus (Cambridge University Press, 1963) Charles W. Misner, Kip S. Thorne and John A. Wheeler, Gravitation (W.H. Freeman, 1973) Keith R. Symon

11. Michor, Peter, Publications F Kolár, Ivan; Slovák, Jan; Michor, Peter W. Natural operations in differential geometry. H Michor, Peter W. Topics in differential geometry. http://www.mat.univie.ac.at/~michor/listpubl.html

Publications of Peter W. Michor Reviews on articles of Peter Michor in Zentralblatt-MATH Reviews on articles of Peter Michor in MathSciNet (Mathematical Reviews). Call and technical advise to scan and put pre-TeX publications on the web. Monographs and Lecture Notes [A] Michor, Peter W.: Functors and categories of Banach spaces. Springer Lecture Notes 651, (1978), vi+99 pp., MR 80h:46116, Z 369.46069. Out of print. Scanned book: pdf-file [B] Cigler, Johann; Losert, Viktor; Michor, Peter W.: Banach modules and functors on categories of Banach spaces. Lecture Notes in Pure and Applied Mathematics 46, Marcel Dekker Inc., New York, Basel, (1979), MR 80j:46112, Z 411.46044. Review in Bull. AMS 3,2 (1980) xv+282 pp., Orders to: Marcel Dekker, inc., 270, Madison Avenue, New York, N.Y.10016, tel (212)696-9000. Scanned book: pdf-file [C] Michor, Peter W.: Manifolds of differentiable mappings. Shiva Mathematics Series 3, Shiva Publ., Orpington, (1980), iv+158 pp., MR 83g:58009, ZM 433.58001 Out of print. Scanned book:

12. Sfb 288 Preprints Archive Sfb 288 differential geometry and Quantum Physics. http://www-sfb288.math.tu-berlin.de/Publications/Preprints.html

Home About Us Research People ... Impressum Sfb 288 Differential Geometry and Quantum Physics Preprints Archive Have a look at the description on how to deposit Sfb 288 preprints on the web server. The preprints are arranged in approximate chronological order, and numbered from 1 upwards. Some postscript files are not available, particularly for the early preprints. You can also search in the preprint database. Some recent arrivals: F. Leitner: A note on twistor spinors with zeros in Lorentzian geometry preprint606.ps.gz (64 kB) F. Leitner: Normal Conformal Killing Forms preprint605.ps.gz (142 kB) Bogdan Alexandrov: Hermitian spin surfaces with small eigenvalues of the Dolbeault operator. preprint604.ps.gz (154 kB) A.G. Bytsko, A. Doikou: Thermodynamics and conformal properties of XXZ chains with alternating spins preprint603.ps.gz (246 kB) B. Alexandrov: Sp(n)U(1)-connections with parallel totally skew-symmetric torsion. preprint602.ps.gz (208 kB) S.B. Davis: Effectively Closed Infinite-Genus Surfaces and the String Coupling preprint601.ps.gz (204 kB)

13. Differential Geometry. Honours 1996 next contents Next Contents Contents differential geometry. Honours 1996. Michael Murray. Contents; Coordinate independent calculus. http://www.maths.adelaide.edu.au/pure/mmurray/dg_hons/dg_hons.html

Next: Contents Contents Differential Geometry. Honours 1996 Michael Murray Contents Co-ordinate independent calculus. Introduction Smooth functions ... About this document ... Michael Murray

14. EDGE EUROPEAN differential geometry ENDEAVOUR. EDGE aims to encourage and facilitate research and training in major areas of differential http://edge.imada.sdu.dk/

EDGE EDGE information Welcome Structure Activities Positions available ... About this homepage EUROPEAN DIFFERENTIAL GEOMETRY ENDEAVOUR EDGE aims to encourage and facilitate research and training in major areas of differential geometry, which is a vibrant and central topic in pure mathematics today. A significant theme which unites the areas that are the subject of this endeavour is the interface with other disciplines, both pure (topology, algebraic geometry) and applied (mathematical physics, especially gauge theory and string theory). The members of EDGE are geometers in mathematical centres spreading among most European countries. These centres are grouped into nine geographical nodes which are responsible for the management of joint research projects and for the training of young researchers through exchange between the EDGE groups. The following are some of the common mathematical themes that underlie and unify the tasks to be addressed by EDGE. Another unifying theme is the use of analytical and differential-geometric methods in attacking problems whose origin is not in differential geometry per se. These methods will be used by researchers throughout the network to investigate a wide variety of problems in related areas of mathematics including topology, algebraic geometry, and mathematical physics. In algebraic geometry, for example, there are a number of problems that are best attacked with `transcendental methods'. In some cases, the research concerns correspondences between differential-geometric and algebraic-geometric objects (as in the Hitchin-Kobayashi correspondence and its generalizations).

15. Geometry Formulas And Facts Excerpts from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (1995), namely, the geometry section minus differential geometry. http://www.geom.uiuc.edu/docs/reference/CRC-formulas/

Next: Part I: Two-Dimensional Geometry Up: Geometry Reference Archives Geometry Formulas and Facts Silvio Levy This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas , published in late 1995 by CRC press This completely rewritten and updated edition of CRC's classical reference work is edited by Dan Zwillinger, and boasts the participation of dozens of distinguished contributors in all fields of mathematics. Ordering information is available here The present excerpt covers the area of Geometry (minus differential geometry). It was written by Silvio Levy and is reproduced here with permission. All the figures were made by the author using Mathematica , except those in Section , which were made using kali This online version was prepared with the help of Nikos Drakos's converter; for compatibility of text and formulas, choose a largish text font with your browser. A button in the text indicates a cross-reference. Part I: Two-Dimensional Geometry 1 Coordinate Systems in the Plane 1.1 Substitutions and Transformations 1.2 Cartesian Coordinates in the Plane ... 16 Quadrics Next: Part I: Two-Dimensional Geometry Up: Geometry Reference Archives The Geometry Center Home Page Silvio Levy Wed Oct 4 16:41:25 PDT 1995 This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas CRC Press ). Unauthorized duplication is forbidden.

16. Journal Of Differential Geometry, Index Of Issues http://www.intlpress.com/JDG/papers.htm

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17. Differential Geometry differential geometry. August 11, 2003 to May 14, 2004. at the Mathematical Sciences Research Institute, Berkeley, California differential geometry is a vast subject that has its roots in both the classical theory of curves and surfaces, i.e http://www.msri.org/calendar/programs/ProgramInfo/108/show_program

Calendar Differential Geometry August 11, 2003 to May 14, 2004 at the Mathematical Sciences Research Institute, Berkeley, California Organized by: Robert Bryant (co-chair), Frances Kirwan, Peter Petersen, Richard Schoen, Isadore Singer, and Gang Tian (co-chair) Differential geometry is a vast subject that has its roots in both the classical theory of curves and surfaces, i.e., the study of properties of objects in physical space that are unchanged by rotation and translation, and in the early attempts by Gauss and Riemann, among others, to understand the features of problems from the calculus of variations that are independent of the coordinates in which they might happen to be described. As classical as the subject is, it is currently undergoing a very vigorous development, interacting strongly with theoretical physics, mechanics, topology, algebraic geometry, symplectic topology, partial differential equations, the calculus of variations, integrable systems, and many other subjects. The five main topics on which we propose to concentrate the program are areas that have shown considerable growth in the last ten years: Complex geometry, calibrated geometries and special holonomy

18. Differential Geometry - Dynamical Systems differential geometry Dynamical Systems. ISSN 1454-511X. differential geometry is a fully refereed research domain included in all http://vectron.mathem.pub.ro/dgds/

Differential Geometry - Dynamical Systems ISSN 1454-511X Differential Geometry is a fully refereed research domain included in all aspects of mathematics and its applications. The Electronic Journal "Differential Geometry - Dynamical Systems" is published in free electronic format by Balkan Society of Geometers, Geometry Balkan Press. Main Journal Papers Volume 1 (1999) Volume 2 (2000) Volume 3, no. 1 (2001) Volume 3, no. 2 (2001) ... Editors Mathematics Journals Applied Sciences (APPS) The Electronic Library of Mathematics (EMIS) Paper and Electronic Journals Comments welcome Last update: January 2003.

19. Differential Geometry Research program at MSRI, Berkeley, CA, USA; 11 August 2003 15 May 2004. http://zeta.msri.org/calendar/programs/ProgramInfo/108/show_program

Calendar Differential Geometry August 11, 2003 to May 14, 2004 at the Mathematical Sciences Research Institute, Berkeley, California Organized by: Robert Bryant (co-chair), Frances Kirwan, Peter Petersen, Richard Schoen, Isadore Singer, and Gang Tian (co-chair) Differential geometry is a vast subject that has its roots in both the classical theory of curves and surfaces, i.e., the study of properties of objects in physical space that are unchanged by rotation and translation, and in the early attempts by Gauss and Riemann, among others, to understand the features of problems from the calculus of variations that are independent of the coordinates in which they might happen to be described. As classical as the subject is, it is currently undergoing a very vigorous development, interacting strongly with theoretical physics, mechanics, topology, algebraic geometry, symplectic topology, partial differential equations, the calculus of variations, integrable systems, and many other subjects. The five main topics on which we propose to concentrate the program are areas that have shown considerable growth in the last ten years: Complex geometry, calibrated geometries and special holonomy

20. ScienceDirect - Differential Geometry And Its Applications - List Of Issues www.sciencedirect.com/webeditions/journal/09262245 More results from www.sciencedirect.com Notes for the course in differential geometryLecture notes for the course in differential geometry. These wisdom). Bibliography. NJ Hicks, Notes on differential geometry, Van Nostrand. http://www.sciencedirect.com/science/journal/09262245

This Feature requires JavaScript Register or Login: Password: Athens Login Differential Geometry and its Applications Bookmark this page as: http://www.sciencedirect.com/science/journal/09262245 Articles in Press Volumes 11 - 20 Volume 20, Issue 3 , Pages 251-379 (May 2004) Volume 20, Issue 2 , Pages 125-249 (March 2004) Volume 20, Issue 1 , Pages 1-124 (January 2004) Volume 19, Issue 3 , Pages 253-379 (November 2003) Volume 19, Issue 2 , Pages 127-251 (September 2003) Volume 19, Issue 1 , Pages 1-126 (July 2003) Volume 18, Issue 3 , Pages 239-382 (May 2003) Volume 18, Issue 2 , Pages 119-238 (March 2003) Volume 18, Issue 1 , Pages 1-117 (January 2003) Volume 17, Issues 2-3 , Pages 111-273 (September 2002) Volume 17, Issue 1 , Pages 1-110 (July 2002) Volume 16, Issue 3 , Pages 199-293 (May 2002) Volume 16, Issue 2 , Pages 95-198 (March 2002) Volume 16, Issue 1 , Pages 1-94 (January 2002) Volume 15, Issue 3 , Pages 203-287 (November 2001) Volume 15, Issue 2 , Pages 107-201 (September 2001) Volume 15, Issue 1 , Pages 1-106 (July 2001) Volume 14, Issue 3

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