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

T. Bayrakdar | Zendy; Abdullah Ergin | Zendy

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

Author(s) -

T. Bayrakdar,

Abdullah Ergin

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1708-33

Subject(s) - mathematics , transitive relation , equivalence (formal languages) , pure mathematics , hamiltonian (control theory) , mathematical analysis , combinatorics , mathematical optimization

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.

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