Lightlike submanifolds of Pseudo-Riemannian Poisson manifolds

Hassirou Mohamadou

Abstract


This paper is in pursuit of results obtained in [7].In this paper
we study the geometry elements of lightlike symplectic foliation on
pseudo-Riemannian Poisson manifold. We prove thus that such sub-
manifold is totally geodesic if its lightlike transversal connection is
vanishing and it's a product manifold.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|