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Foundations of Hyperbolic Manifolds (Graduate Texts in Mathematics #149) (Hardcover)

Foundations of Hyperbolic Manifolds (Graduate Texts in Mathematics #149) Cover Image
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Description


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.

About the Author


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


Product Details
ISBN: 9783030315962
ISBN-10: 3030315967
Publisher: Springer
Publication Date: November 7th, 2019
Pages: 800
Language: English
Series: Graduate Texts in Mathematics