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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces by Alexey V Shchepetilov
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces by Alexey V Shchepetilov
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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

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Description

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.
Release date NZ
October 22nd, 2010
Audience
  • Professional & Vocational
Edition
Softcover reprint of hardcover 1st ed. 2006
Illustrations
XVIII, 242 p.
Pages
242
Dimensions
156x234x14
ISBN-13
9783642071270
Product ID
9979832

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