GELFAND-DORFMAN THEOREM AND EXACT COCYCLE POISSON STRUCTURES

Authors
BHASKARA KH LEAHY JV RAMA K
Citation
Kh. Bhaskara et al., GELFAND-DORFMAN THEOREM AND EXACT COCYCLE POISSON STRUCTURES, International journal of theoretical physics, 34(3), 1995, pp. 443-452
Citations number
10
Categorie Soggetti
Physics
Journal title
International journal of theoretical physics → ACNP
ISSN journal
00207748
Volume
34
Issue
3
Year of publication
1995
Pages
443 - 452
Database
ISI
SICI code
0020-7748(1995)34:3<443:GTAECP>2.0.ZU;2-J
Abstract
We generalize the Gel'fand-Dorfman theorem to Poisson manifolds using the cohomological conditions. We find conditions to construct some com patible Poisson structures (exact cocycle type) suited to the needs of the theorem. Exact Poisson structures on vector spaces are also studi ed. We prove that every Lie-Poisson structure is exact.