Foundations of Hyperbolic Manifolds

Released on by John Ratcliffe
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  • Foundations of Hyperbolic Manifolds Book Detail

  • Author : John Ratcliffe
  • Release Date : 2013-03-09
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 761
  • ISBN 13 : 1475740131
  • File Size : 46,46 MB
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Foundations of Hyperbolic Manifolds by John Ratcliffe PDF Summary

Book Description: 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. Particular emphasis has been placed on readability and completeness of ar gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.

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Foundations of Hyperbolic Manifolds

Foundations of Hyperbolic Manifolds

File Size : 61,61 MB
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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. Particular e

Foundations of Hyperbolic Manifolds

Foundations of Hyperbolic Manifolds

File Size : 14,14 MB
Total View : 986 Views
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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 knowled

Foundations of Hyperbolic Manifolds

Foundations of Hyperbolic Manifolds

File Size : 68,68 MB
Total View : 2849 Views
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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 knowled

Fundamentals of Hyperbolic Manifolds

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Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Note

Lectures on Hyperbolic Geometry

Lectures on Hyperbolic Geometry

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Focussing on the geometry of hyperbolic manifolds, the aim here is to provide an exposition of some fundamental results, while being as self-contained, complete