Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Alexey V. Shchepetilov

ISBN 10: 3540353844 / ISBN 13: 9783540353843

Edité par Springer, Berlin, Springer Berlin Heidelberg, Springer, 2006

A propos de cet article

Neuware - 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.

N° de réf. du vendeur 9783540353843

Détails bibliographiques

• Titre: Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
• Éditeur: Springer, Berlin, Springer Berlin Heidelberg, Springer
• Date de parution: 2006
• Langue: anglais
• ISBN à 10 chiffres: 3540353844
• ISBN à 13 chiffres: 9783540353843
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 243 L x 158 H x 21 P (en millimètres) 243 millimètres de largeur par 158 millimètres de hauteur par 21 millimètres de profondeur
• Poids: 564 grammes

A propos de ce titre

Synopsis

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.