Equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds

Authors : Tuna BAYRAKDAR, Abdullah Aziz ERGİN

Pages : 2452-2465

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We solve the equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds via Cartan`s method of equivalence. The problem separates into two branches on total space, one of which ends up with the intransitive involutive structure equations. For the transitive case, we obtain an $\{e\}$-structure on both total and base spaces.
Keywords : Bi Hamiltonian structure, Poisson structure, Cartan`s method of equivalence, intransitive structure equations, Maurer Cartan equations