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Article

Chinea, Domingo ; León, Manuel de ; Marrero, Juan C.
Locally conformal cosymplectic manifolds and time-dependent Hamiltonian systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 383-387
MSC: 37J99, 53C15, 58F05, 70H05 | MR 1137800 | Zbl 0748.53016
Keywords:
cosymplectic manifold; locally conformal cosymplectic manifold; Hamiltonian systems
Summary:
We show that locally conformal cosymplectic manifolds may be seen as generalized phase spaces of time-dependent Hamiltonian systems. Thus we extend the results of I. Vaisman for the time-dependent case.
References:
[1] Abraham R., Marsden J.: Foundations of Mechanics. $2^{nd}$ ed., Benjamin, New York, 1978. MR 0515141 | Zbl 0393.70001
[2] Chinea D., Marrero J.C.: Locally conformal cosymplectic manifolds. preprint. Zbl 0748.53016
[3] Libermann P.: Sur les structures presque complexes et autres structures infinitésimales régulières. Bull. Soc. Math. France 83 (1955), 195-224. MR 0079766
[4] Libermann P., Marle Ch.: Symplectic Geometry and Analytical Mechanics. Reidel Publ., Dordrecht, 1987. MR 0882548 | Zbl 0643.53002
[5] de León M., Rodrigues P.: Methods of Differential Geometry in Analytical Mechanics. NorthHolland Mathematical Studies No. 158, Amsterdam, 1989.
[6] Takizawa S.: On contact structures of real and complex manifolds. Tôhoku Math. J. 15 (1963), 227-252. MR 0157331 | Zbl 0122.40704
[7] Vaisman I: Locally conformal symplectic manifolds. Internat. J. Math. & Math. Sci. 8, 3 (1985), 521-536. MR 0809073 | Zbl 0585.53030
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