Compatibility betwenn pseudo-riemannian structure and Poisson structure

2001/10/11 by Mohamed Boucetta, Boucetta, Mohamed
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.math/0110117

8 pages, to appear in C.R.A.S

arxiv created 2001/10/11 · arxiv updated 2009/11/30

Abstract

We will introduce two notions of compatibility bettwen pseudo-Riemannian metric and Poisson structure using the notion of contravariant connection introduced by Fernandes R. L., we will study some proprities of manifold endowed with such compatible structures an we will give some examples.

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