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42. Title Details - Cambridge University Press Home Catalogue Metric Diophantine Approximation on manifolds. Related Areas Metric Diophantine Approximation on manifolds. VI Bernik, MM Dodson. £35.00. http://titles.cambridge.org/catalogue.asp?isbn=0521432758

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46. Conference On Discrete Groups And Hyperbolic Manifolds Accommodation. University of Aberdeen. There will be a Conference on Discrete Groups and Hyperbolic manifolds at the University of Aberdeen, August 5–7 2004. http://www.ma.utexas.edu/users/areid/home.html

Home Registration Accommodation University of Aberdeen The Conference will consist of no more than 15 invited 1 hour talks, which will commence on the morning of the 5 th August (so participants should plan to arrive on the 4 th Speakers Mikhail Belolipetsky Alex Lubotzky Brian Bowditch Gaven Martin Martin Bridson Alan Reid Brent Everitt Gerhard Rosenberger Grzegorz Gromadzki Caroline Series Jim Howie David Singerman Don James Peter Waterman The conference is in part organized in honour of the forthcoming retirement of Dr. Colin Maclachlan (University of Aberdeen). This will be recognized at a conference banquet. The conference is supported by The Edinburgh Mathematical Society, The Glasgow Mathematical Journal Trust and The London Mathematical Society. Participants can register for the Conference by following the link Registration on the left side bar. There is limited support for postgraduate students attending Universities within the U.K. For further details follow the same link. Scientific Organizing Committee: E. Bujalance (Madrid)

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52. Introduction To Smooth Manifolds ; series. It is a sequel to my earlier book, Introduction to Topological manifolds.......Introduction to Smooth manifolds. by John M. Lee. http://www.math.washington.edu/~lee/Books/smooth.html

Introduction to Smooth Manifolds by John M. Lee Description Table of Contents and sample chapter Corrections to the book Ordering Information This is Volume 218 in the Graduate Texts in Mathematics series. It is a sequel to my earlier book, Introduction to Topological Manifolds Also see my other book, Riemannian Manifolds: An Introduction to Curvature I might eventually work on a second edition of this book, so I invite you to send me your corrections, suggested additions, or any other comments that might be helpful. John M. Lee University of Washington Department of Mathematics Box 354350 Seattle, WA 98195-4350 USA Phone: (206) 543-1735 Fax: (206) 543-0397 E-mail: lee@math.washington.edu

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54. Riemannian Manifolds: An Introduction To Curvature Riemannian manifolds An Introduction to Curvature. Also see my two other books, Introduction to Topological manifolds and Introduction to Smooth manifolds. http://www.math.washington.edu/~lee/Books/riemannian.html

Riemannian Manifolds: An Introduction to Curvature by John M. Lee Description Table of Contents and sample chapter Corrections to the book Ordering Information Also see my two other books, Introduction to Topological Manifolds and Introduction to Smooth Manifolds I might eventually work on a second edition of this book, so I invite you to send me your corrections, suggested additions, or any other comments that might be helpful. John M. Lee University of Washington Department of Mathematics Box 354350 Seattle, WA 98195-4350 USA Phone: (206) 543-1735 Fax: (206) 543-0397 E-mail: lee@math.washington.edu

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56. Globalizing Two-dimensional Unstable Manifolds Of Maps Up Available formats Globalizing twodimensional unstable manifolds of maps. Bernd Krauskopf Theoretical Physics Free University http://www.geom.uiuc.edu/docs/research/manifolds/

Up: Available formats Globalizing two-dimensional unstable manifolds of maps Bernd Krauskopf Theoretical Physics Free University De Boelelaan 1081 1081 HV Amsterdam The Netherlands berndk@nat.vu.nl Hinke Osinga The Geometry Center University of Minnesota 1300 South Second Street Minneapolis, MN 55454 U.S.A hinke@geom.umn.edu Abstract We present an algorithm for computing the global two-dimensional unstable manifold of a normally hyperbolic invariant circle of a three-dimensional map. Our algorithm computes intersections of the unstable manifold with a finite number of leaves of a chosen linear foliation. This allows us to guarantee the quality of the mesh on this manifold. We compute growing pieces of the unstable manifold by using a method that does not depend on the dynamics on the manifold. Our method can also be used for the computation of global two-dimensional unstable manifolds of hyperbolic saddle points. The global stable manifold is obtained by considering the inverse map. To appear in Contents 1. Introduction

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58. 3-manifolds 3manifolds. When we extend our domain from 2-manifolds to 3-manifolds, we are confronted with the problems of volume visualization. http://www.geom.uiuc.edu/docs/research/ieee94/node10.html

Next: Viewing with 4D Up: Manifolds Previous: Knotted Surfaces in 3-manifolds When we extend our domain from 2-manifolds to 3-manifolds, we are confronted with the problems of volume visualization. The traditional surface visualization approach is to embed the 2-manifold in 3-space and let the user fly around in the empty spaces, viewing the manifold from the outside. This is harder for 3-manifolds, but still feasible if one can do rapid volume rendering. In essence, one projects from 4D to 3D, treating space as a photo-sensitive medium that one can also fly through. In , Hanson, Pheng, and Cross introduce ``outside viewer'' techniques that allow interaction with 4D-lit, thickened 2-manifolds as well as moderately complex tessellated 3-manifolds. Charlie Gunn's imaging system, Maniview , an external module of Geomview, takes an alternative approach that dates to Bernard Riemann, the founder of manifold theory. The viewer is placed inside the 3-manifold, with no notion of an embedding in some ambient, higher-dimensional space. This is an elegant, mathematical solution because it avoids artifacts of any particular embedding. One can interact with an environment that is 3-dimensional, just like our familiar 3-space, but with surprises. For example, the barbershop experience of sitting between two parallel mirrors is similar to being inside certain 3-manifolds, provided you ignore images of yourself that face you. What seems subjectively like being inside a vast, repeating volumetric tiling of space is objectively the gluing of one wall to another to form a 3D cylinder. Conceptually, the ``insider's view'' obtained by this approach is an infinite tessellation of space. Of course, the tessellation drawn by Maniview must be finite, but the combination of a large tessellation radius with light attenuation yields a convincing picture. In Figure

59. Links To Low-dimensional Topology Topics General, Conferences, Pages of Links, Knot Theory, 3manifolds, Journals. http://www.math.unl.edu/~mbritten/ldt/ldt.html

Links to low-dimensional topology Any comments/suggestions? Send them to me! Enter your comments here: Most recent additions: hard to say, I've stopped keeping track... This page was getting just a little too large, so I've cut it into pieces. General Conferences Pages of Links Knot Theory ... Home pages

60. INI Programme SKG Isaac Newton Institute for Mathematical Sciences, Cambridge, UK; 21 July 15 August 2003. http://www.newton.cam.ac.uk/programs/SKG/

@import url(/css/prog-non_n4.css); Institute Home Page Programmes Web-Seminars Programme Home Seminars Workshops Participants Long Stay Short Stay Additional Links Contacts Mailing List Background Submissions Instruction Page for the proceedings Isaac Newton Institute for Mathematical Sciences Spaces of Kleinian Groups and Hyperbolic 3-Manifolds 21 Jul - 15 Aug 2003 Organisers : Professor C Series ( Warwick ), Professor Y Minsky ( Stony Brook ), Professor M Sakuma ( Osaka Programme theme Kleinian groups stand at the meeting point of several different parts of mathematics. Classically, they arose as the monodromy groups of Schwarzian equations, in modern terminology projective structures, on Riemann surfaces.The action by Möbius maps on the Riemann sphere provides further intimate links not only with Riemann surfaces, but also complex dynamics and fractals, while Thurston's revolutionary insights have made hyperbolic 3-manifolds, quotients of the isometric action on hyperbolic 3-space, central to 3-dimensional topology. The juxtaposition of Thurston's work with Teichmüller theory makes it natural to study spaces of Kleinian groups. From the viewpoint of complex dynamics, a space of Kleinian groups is a close analogue of the Mandelbrot set; Bers' simultaneous uniformisation theorem reveals these spaces as an extension of Teichmüller theory; while from the 3-dimensional viewpoint they become deformation spaces of hyperbolic 3-manifolds. Such ideas will be the main focus of this meeting.Each approach contributes its individual flavour, and the aim of this programme is to bring together the diverse threads.

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