Foundations of hyperbolic manifolds

John G. Ratcliffe.

3ra ed.

New York : Springer, ©2019.

xii, 800 págs. : ilustraciones ; 24 cm.

Serie: Graduate texts in mathematics ; 149

ISBN: 9783030315962

Resumen: 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.

Incluye referencias bibliográficas (p. 766-788) e índice.