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math.DG2002
The modular class of a regular Poisson manifold and the Reeb invariant of its symplectic foliation
A. Abouqateb, M. Boucetta
We show that, for any regular Poisson manifold, there is an injective natural linear map from the first leafwise cohomology space into the first Poisson cohomology space which maps…
math.DG2002★ 2 cited
Riemann Poisson manifolds and Kähler-Riemann foliations
Mohamed Boucetta
Riemann Poisson manifolds were introduced by the author in [1] and studied in more details in [2]. Kähler-Riemann foliations form an interesting subset of the Riemannian foliations…
math.DG2002
Poisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras
Mohamed Boucetta
The notion of Poisson manifold with compatible pseudo-metric was introduced by the author in [1]. In this paper, we introduce a new class of Lie algebras which we call a pseudo-Rie…