Lectures on Hyperbolic Geometry

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, detailed and unified as possible.

Lectures on Hyperbolic Geometry

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Lectures on Hyperbolic Geometry
Language: en
Pages: 330
Authors: Riccardo Benedetti, Carlo Petronio
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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, detailed and unified as possible. Following some classical material on the hyperbolic space and the Teichmüller space, the book centers on the two fundamental results: Mostow's
Lectures on Hyperbolic Volume
Language: en
Pages: 250
Authors: Ilesanmi Adeboye
Categories: Mathematics
Type: BOOK - Published: 2013-02-28 - Publisher:

This text will serve as a “user's guide” to the study of hyperbolic volume. With clear exposition, the author gives a panoramic view of the many techniques used in, and consequences of, this active area of mathematics. It is targeted at first- and second-year graduate students and it will be
Lectures on Nonlinear Hyperbolic Differential Equations
Language: en
Pages: 290
Authors: Lars Hörmander
Categories: Mathematics
Type: BOOK - Published: 1997-07-17 - Publisher: Springer Science & Business Media

In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the
Lectures on Partial Hyperbolicity and Stable Ergodicity
Language: en
Pages: 122
Authors: Ya. B. Pesin, Yakov B. Pesin
Categories: Exponential functions
Type: BOOK - Published: 2004 - Publisher: European Mathematical Society

This book is an introduction to the modern theory of partial hyperbolicity with applications to stable ergodicity theory of smooth dynamical systems. It provides a systematic treatment of the theory and describes all the basic concepts and major results obtained in the area since its creation in the early 1970s.
Foundations of Hyperbolic Manifolds
Language: en
Pages: 750
Authors: John Ratcliffe
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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