Overview
Mathematics develops both due to demands of other sciences and due to its internal logic. The latter fact explains the attention of mathematicians to many problems, which are in close connection with basic mathematical notions, even if these problems have no direct practical applications. It is well known that the space of constant curvature is one of the basic geometry notion [208], which induced the wide ?eld for investigations. As a result there were found numerous connections of constant curvature spaces with other branches of mathematics, for example, with integrable partial dif- 1 ferential equations [36, 153, 189] and with integrable Hamiltonian systems [141]. Geodesic ?ows on compact surfaces of a constant negative curvature (with the genus 2) generate many test examples for ergodic theory (see also 3 [183] and the bibliography therein). The hyperbolic space H (R) is the space of velocities in special relativity (see Sect. 7.4.1) and also arises as space-like sections in some models of general relativity.
Full Product Details
Author: Alexey V. Shchepetilov
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: Softcover reprint of hardcover 1st ed. 2006
Volume: 707
Dimensions:
Width: 15.50cm
, Height: 1.40cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9783642071270
ISBN 10: 3642071279
Pages: 242
Publication Date: 22 October 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
From the reviews: This book has eight chapters and a bibliography list containing 215 references. It is written in a clear and straightforward way that makes it useful even for nonspecialists in the field. ! In particular, the book contains interesting discussions of applications of the Poincare section method to some problems in constant curvature spaces. ! The book is a valuable complete source for many-body problems on two-point homogeneous spaces. (Alexei Tsygvintsev, Mathematical Reviews, Issue 2008 f)
From the reviews: This book has eight chapters and a bibliography list containing 215 references. It is written in a clear and straightforward way that makes it useful even for nonspecialists in the field. ... In particular, the book contains interesting discussions of applications of the Poincare section method to some problems in constant curvature spaces. ... The book is a valuable complete source for many-body problems on two-point homogeneous spaces. (Alexei Tsygvintsev, Mathematical Reviews, Issue 2008 f)
From the reviews: This book has eight chapters and a bibliography list containing 215 references. It is written in a clear and straightforward way that makes it useful even for nonspecialists in the field. ... In particular, the book contains interesting discussions of applications of the Poincare section method to some problems in constant curvature spaces. ... The book is a valuable complete source for many-body problems on two-point homogeneous spaces. (Alexei Tsygvintsev, Mathematical Reviews, Issue 2008 f)
