Hamiltonian systems on almost cosymplectic manifolds

Stefan Berceanu
DFT Seminar Room
2023-03-30 12:00:00

We determine the Hamiltonian vector field on an odd dimensional manifold endowed with almost cosymplectic structure. This is a generalization of the corresponding Hamiltonian vector field on manifolds with almost transitive contact structures, which extends the contact Hamiltonian systems. Applications are presented to the equations of motion on a particular five-dimensional manifold, the extended Siegel-Jacobi upper-half plane, endowed with a generalized transitive almost contact structure and cosymplectic structure.

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