Lectures on Hyperbolic Geometry (Universitext) - Image 1

£54.27

Springer Lectures on Hyperbolic Geometry (Universitext)

Name: Lectures on Hyperbolic Geometry (Universitext)
Brand: Springer
Price: 53.96 GBP
Availability: InStock

Geometry & Topology

Price History & Forecast

Last 22 days • 22 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 22 days • 1 price levels

Days at Price

Price Analysis

Most common price: £54 (22 days, 100.0%)

Price range: £54 - £54

Price levels: 1 different prices over 22 days

Description

In recent years hyperbolic geometry has been the object and the preparation for extensive study that has produced important and often amazing results and also opened up new questions. The book concerns the geometry of manifolds and in particular hyperbolic manifolds; its aim is to provide an exposition of some fundamental results, and to be as far as possible self-contained, complete, detailed and unified. Since it starts from the basics and it reaches recent developments of the theory, the book is mainly addressed to graduate-level students approaching research, but it will also be a helpful and ready-to-use tool to the mature researcher. After collecting some classical material about the geometry of the hyperbolic space and the Teichmüller space, the book centers on the two fundamental results: Mostow's rigidity theorem (of which a complete proof is given following Gromov and Thurston) and Margulis' lemma. These results form the basis for the study of the space of the hyperbolic manifolds in all dimensions (Chabauty and geometric topology); a unified exposition is given of Wang's theorem and the Jorgensen-Thurston theory. A large part is devoted to the three-dimensional case: a complete and elementary proof of the hyperbolic surgery theorem is given based on the possibility of representing three manifolds as glued ideal tetrahedra. The last chapter deals with some related ideas and generalizations (bounded cohomology, flat fiber bundles, amenable groups). This is the first book to collect this material together from numerous scattered sources to give a detailed presentation at a unified level accessible to novice readers.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 354055534X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Publication Date: 03 September 1992
Listed Since: 18 December 2006

Barcode

No barcode data available

Springer Lectures on Hyperbolic Geometry (Universitext)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Topological, Differential and Conformal Geometry of Surfaces (Universitext)

Riemannian Geometry (Universitext)

Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)

The Geometric Hopf Invariant and Surgery Theory (Springer Monographs in Mathematics)

Geometric Invariant Theory: Over the Real and Complex Numbers (Universitext)

Geometric Group Theory (Colloquium Publications)

The Geometry of Discrete Groups: 91 (Graduate Texts in Mathematics, 91)

Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions

Ergodic Theory, Hyperbolic Dynamics and Dimension Theory (Universitext)

The Geometry of Discrete Groups: 91 (Graduate Texts in Mathematics, 91)

Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory (Springer Monographs in Mathematics)

Mod Two Homology and Cohomology (Universitext)

Lectures on Analysis on Metric Spaces (Universitext)

Low-dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots (Student Mathematical Library)

The Geometrization Conjecture (Clay Mathematics Monographs)

Surgery on Compact Manifolds (Mathematical Surveys and Monographs)

Lectures On The Geometry Of Manifolds (2Nd Edition)

LECTURES ON THE GEOMETRY OF MANIFOLDS (2ND EDITION)

Lectures on Differential Topology (Graduate Studies in Mathematics)

Different Faces of Geometry: 3 (International Mathematical Series, 3)

Geometry VI: Riemannian Geometry: 91 (Encyclopaedia of Mathematical Sciences, 91)

Geometry of Hypersurfaces (Springer Monographs in Mathematics)

Surgery on Contact 3-Manifolds and Stein Surfaces: 13 (Bolyai Society Mathematical Studies, 13)

Basic Algebraic Geometry (Springer Study Edition)