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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 4, Pages 10–18
(Mi ivm8788)
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This article is cited in 9 scientific papers (total in 9 papers)
Connections over a distribution and geodesic sprays
A. V. Bukusheva, S. V. Galaev Chair of Geometry, Saratov State University, Saratov, Russia
Abstract:
We define (in a natural way) an almost contact metric structure on a smooth distribution of a contact metric manifold considered as the total space of a vector bundle. We introduce notions of a geodesic spray of a connection over a smooth distribution and of a generalized Hamiltonian system. In terms of this system we give an invariant description of the motion of a mechanical system with constraints.
Keywords:
contact structure, Hamiltonian vector field, Reeb vector field, semispray, geodesic spray, symplectic structure.
Received: 08.11.2011
Citation:
A. V. Bukusheva, S. V. Galaev, “Connections over a distribution and geodesic sprays”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 4, 10–18; Russian Math. (Iz. VUZ), 57:4 (2013), 7–13
Linking options:
https://www.mathnet.ru/eng/ivm8788 https://www.mathnet.ru/eng/ivm/y2013/i4/p10
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Abstract page: | 321 | Full-text PDF : | 70 | References: | 46 | First page: | 15 |
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