Dört boyuttaki poisson bi-vektörler
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Abstract (EN)
In this work, it is shown that a non-vanishing vector field on a four dimensional manifold is locally bi-Hamiltonian. We construct a method for computing the symplectic structures which make the given non-vanishing vector field Hamiltonian. The method uses solely the knowledge of the vector field but not its integral curves. Therefore the method proposes a way of constructing a bi-Hamiltonian structure for the dynamical system defined by the given vector field without requiring the solution of the dynamical system.
Author
Mehmet Dinç
How to Cite
Mehmet Dinç (Doctorate thesis). Dört boyuttaki poisson bi-vektörler, 2021, Yeditepe University.
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