Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory (Springer Monographs in Mathematics) - Image 1

Price loading...

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

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

Algebra

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n :::: 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres. The ge ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and Gauß had observed that they do not satisfy the axiom of parallels. Already in the classical works several concrete coordinate models of hy perbolic 3-space have appeared. They make explicit computations possible and also give identifications of the full group of motions or isometries withwell-known matrix groups. One such model, due to H. Poincare, is the upper 3 half-space IH in JR . The group of isometries is then identified with an exten sion of index 2 of the group PSL(2,

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3540627456
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 12 November 1997
Listed Since: 22 December 2006

Barcode

No barcode data available

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

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Geometries and Groups (Universitext)

Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group (Springer Monographs in Mathematics)

Lectures on Hyperbolic Geometry (Universitext)

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

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

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

Geometry of Hypersurfaces (Springer Monographs in Mathematics)

Continuous Semigroups of Holomorphic Self-maps of the Unit Disc (Springer Monographs in Mathematics)

The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics)

Offbeat Integral Geometry on Symmetric Spaces

Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions

The Geometry of Infinite-Dimensional Groups: 51 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 51)

Harmonic Analysis on Commutative Spaces (Mathematical Surveys & Monographs)

Sur les Groupes Hyperboliques d’après Mikhael Gromov: 83 (Progress in Mathematics, 83)

Harmonic Analysis on Semi-Simple Lie Groups II: 189 (Grundlehren der mathematischen Wissenschaften, 189)

Analytic Hyperbolic Geometry: Mathematical Foundations And Applications

Riemannian Geometry (Universitext)

Geometry and Dynamics in Gromov Hyperbolic Metric Spaces: With an Emphasis on Non-Proper Settings (Mathematical Surveys and Monographs)

Fine Structures of Hyperbolic Diffeomorphisms (Springer Monographs in Mathematics)

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces (Mathematical Analysis and its Applications)

Topology of Infinite-Dimensional Manifolds (Springer Monographs in Mathematics)

The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics)

Structure and Regularity of Group Actions on One-Manifolds (Springer Monographs in Mathematics)

C*-Algebras and Elliptic Operators in Differential Topology: 192 (Translations of Mathematical Monographs)