Krishna Rama - Academia.edu (original) (raw)
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University of the Basque Country, Euskal Herriko Unibertsitatea
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Papers by Krishna Rama
International Journal of Theoretical Physics, 1995
We generalize the Gel'fand-Dorfman theorem to Poisson manifolds using the cohomological condition... more We generalize the Gel'fand-Dorfman theorem to Poisson manifolds using the cohomological conditions. We find conditions to construct some compatible Poisson structures (exact cocycle type) suited to the needs of the theorem. Exact Poisson structures on vector spaces are also studied. We prove that every Lie-Poisson structure is exact.
International Journal of Theoretical Physics, 1995
Using a unitary solution of the classical Yang-Baxter equation on a Lie algebraG we describe a pa... more Using a unitary solution of the classical Yang-Baxter equation on a Lie algebraG we describe a particular way of constructing homogeneous quadratic Poisson structures on the dual of aG-moduleV and study some local features of the symplectic foliation due to the involutive distribution of the Hamiltonian vector fields. We also give some examples where the symplectic leaves are explicitly calculated.
International Journal of Theoretical Physics, 1995
We generalize the Gel'fand-Dorfman theorem to Poisson manifolds using the cohomological condition... more We generalize the Gel'fand-Dorfman theorem to Poisson manifolds using the cohomological conditions. We find conditions to construct some compatible Poisson structures (exact cocycle type) suited to the needs of the theorem. Exact Poisson structures on vector spaces are also studied. We prove that every Lie-Poisson structure is exact.
International Journal of Theoretical Physics, 1995
Using a unitary solution of the classical Yang-Baxter equation on a Lie algebraG we describe a pa... more Using a unitary solution of the classical Yang-Baxter equation on a Lie algebraG we describe a particular way of constructing homogeneous quadratic Poisson structures on the dual of aG-moduleV and study some local features of the symplectic foliation due to the involutive distribution of the Hamiltonian vector fields. We also give some examples where the symplectic leaves are explicitly calculated.