Turkish Journal of Mathematics
DOI
10.3906/mat-1708-33
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
First Page
2452
Last Page
2465
Recommended Citation
BAYRAKDAR, TUNA and ERGİN, ABDULLAH AZİZ
(2018)
"Equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds,"
Turkish Journal of Mathematics: Vol. 42:
No.
5, Article 28.
https://doi.org/10.3906/mat-1708-33
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss5/28
