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Foundations of Hyperbolic Manifolds

Graduate Texts in Mathematics 149

By (author) John G. Ratcliffe
Format: Hardback
Publisher: Springer Nature Switzerland AG, Cham, Switzerland
Published: 7th Nov 2019
Dimensions: w 155mm h 235mm
Weight: 1752g
ISBN-10: 3030315967
ISBN-13: 9783030315962
Barcode No: 9783030315962
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Synopsis
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.

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