# Integrable problems of celestial mechanics in spaces of constant curvature

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Post in Mathematics
BY **T.G. Vozmischeva**

904816382X Shared By Guest

**Integrable problems of celestial mechanics in spaces of constant curvature** T.G. Vozmischeva is available to download <table><tr><td colspan="2"><strong style="font-size:1.This material is available do download at niSearch.com on **T.G. Vozmischeva**'s eBooks, 2em;">Integrable problems of celestial mechanics in spaces of constant curvature</strong><br/>T.*Integrable problems of celestial ...* Textbook G. Vozmischeva</td></tr> <tr> <td><b>Type:</b></td> <td>eBook</td> </tr> <tr> <td><b>Released:</b></td> <td>2010</td> </tr> <tr> <td><b>Publisher:</b></td> <td>Springer</td> </tr> <tr> <td><b>Page Count:</b></td> <td>114</td> </tr> <tr> <td><b>Format:</b></td> <td>pdf</td> </tr> <tr> <td><b>Language:</b></td> <td>English</td> </tr> <tr> <td><b>ISBN-10:</b></td> <td>904816382X</td> </tr> <tr> <td><b>ISBN-13:</b></td> <td>9789048163823</td> </tr> </table>
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. This book is intended for specialists and post-graduate students in celestial mechanics, differential geometry and applications, and Hamiltonian mechanics.

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