 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| T.V. Salnikova, "Closed geodesics on multiply connected manifolds," J. Appl. Math. Mech. 76 (2), 169-171 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
2 |
Pages |
169-171 |
| Title |
Closed geodesics on multiply connected manifolds |
| Author(s) |
T.V. Salnikova (Moscow, Russia, tatiana.salnikova@gmail.com) |
| Abstract |
The existence of a finite number of non-hyperbolic periodic trajectories in Kirchhoff's problem of the motion of a rigid body in an ideal fluid as well as in its twin problem of the motion of a rigid body with a fixed point in a force field with a quadratic potential is proved using one of Klingenberg's theorems. The dynamical system is considered on a multiply connected manifold of even dimension with a Riemann metric. |
| Received |
27 April 2011 |
| Link to Fulltext |
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