Foundations of Hyperbolic Manifolds is popular PDF and ePub book, written by John Ratcliffe in 2013-03-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Foundations of Hyperbolic Manifolds can be Read Online from any device for your convenience.
Foundations of Hyperbolic Manifolds Book PDF Summary
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.
Detail Book of Foundations of Hyperbolic Manifolds PDF
- Author : John Ratcliffe
- Release : 09 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9781475740134
- Genre : Mathematics
- Total Page : 761 pages
- Language : English
- PDF File Size : 7,9 Mb
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