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Foundations of Hyperbolic Manifolds
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Librairie Eyrolles - Paris 5e
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Foundations of Hyperbolic Manifolds

Foundations of Hyperbolic Manifolds

John G. Ratcliffe

800 pages, parution le 06/11/2019

Résumé

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks.

This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.

Euclidean Geometry.- Spherical Geometry.- Hyperbolic Geometry.- Inversive Geometry.- Isometries of Hyperbolic Space.- Geometry of Discrete Groups.- Classical Discrete Groups.- Geometric Manifolds.- Geometric Surfaces.- Hyperbolic 3-Manifolds.- Hyperbolic n-Manifolds.- Geometrically Finite n-Manifolds.- Geometric Orbifolds.

John G. Ratcliffe is Professor of Mathematics at Vanderbilt University. His research interests range from low-dimensional topology and hyperbolic manifolds to cosmology.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) John G. Ratcliffe
Parution 06/11/2019
Nb. de pages 800
EAN13 9783030315962

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