Integrable geodesic flows on two-dimensional sphere, generated by one-dimensional many-particle systems
The problem of the existence of additional first integral for the geodesic flow of Riemannian metric on two-dimensional sphere is considered. The explicit form of corresponding metrics, connected with potentials of interaction in integrable three- and four-particle Calogero-Moser and Toda systems is...
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| Date: | 2006 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2006
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/382 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |  |