Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature T.G. Vozmischeva

ISBN: 9781402015212

Published: October 31st 2003

Hardcover

180 pages


Description

Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature  by  T.G. Vozmischeva

Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature by T.G. Vozmischeva
October 31st 2003 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 180 pages | ISBN: 9781402015212 | 4.73 Mb

This book combines a most interesting area of study, celestial mechanics, with modern geometrical methods in physics. According to recently developed views and research, one of the basic qualitative characteristics of an integrable Hamiltonian system is a structure of the Liouville foliation.

A number of interesting results have been obtained. In particular, some of the constructed topological invariants did not appear in integrable cases investigated by many researchers earlier on. The topology of the isoenergy surfaces is also strongly different from what authors presented before. Some new topological effects in the problems of dynamics on spaces of constant curvature have been discovered. At present there are no other books published in this particular area.



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