عنوان

Foundations of hyperbolic manifolds /

شابک

3030315975

شابک

9783030315979

شابک اشتباه

9783030315962

عنوان اصلي

Foundations of hyperbolic manifolds /

نام عام مواد

[Book]

نام نخستين پديدآور

John G. Ratcliffe.

وضعيت ويراست

Third edition.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2019.

نام خاص و کميت اثر

1 online resource (xii, 800 pages) :

ساير جزييات

illustrations (some color)

عنوان فروست

Graduate texts in mathematics,

شاپا ي ISSN فروست

0072-5285

متن يادداشت

Euclidean Geometry -- Spherical Geometry -- Hyperbolic Geometry -- Inversive Geometry -- Isometries of Hyperbolic Space -- Geometry of Discrete Groups -- Classical Discrete Groups -- Geometric Manifolds -- Geometric Surfaces -- Hyperbolic 3-Manifolds -- Hyperbolic n-Manifolds -- Geometrically Finite n-Manifolds -- Geometric Orbifolds.

بدون عنوان

0

متن يادداشت

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. This third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic groups. Over 40 new lemmas, theorems, and corollaries feature, along with more than 70 additional exercises. Color adds a new dimension to figures throughout. The book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The main results are the characterization of hyperbolic reflection groups and Euclidean crystallographic groups. The second part is devoted to the theory of hyperbolic manifolds. The main results are Mostows rigidity theorem and the determination of the global geometry of hyperbolic manifolds of finite volume. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. The main result is Poincarés fundamental polyhedron theorem. The exposition is at the level of a second year graduate student with particular emphasis placed on readability and completeness of argument. After reading this book, the reader will have the necessary background to study the current research on hyperbolic manifolds. From reviews of the second edition: Designed to be useful as both textbook and a reference, this book renders a real service to the mathematical community by putting together the tools and prerequisites needed to enter the territory of Thurstons formidable theory of hyperbolic 3-manifolds ... Every chapter is followed by historical notes, with attributions to the relevant literature, both of the originators of the idea present in the chapter and of modern presentation thereof. Victor V. Pambuccian, Zentralblatt MATH, Vol. 1106 (8), 2007.

عنوان

Foundations of Hyperbolic Manifolds.

شماره استاندارد بين المللي کتاب و موسيقي

9783030315962

موضوع مستند نشده

Geometry, Hyperbolic.

موضوع مستند نشده

Hyperbolic spaces.

موضوع مستند نشده

Geometry, Hyperbolic.

موضوع مستند نشده

Hyperbolic spaces.

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Ratcliffe, John G.,1948-

تاريخ عمليات

20200823094258.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y