Compatibility betwenn pseudo-riemannian structure and Poisson structure

Details Compatibility betwenn pseudo-riemannian structure and Poisson structure Compatibility betwenn pseudo-riemannian structure and Poisson structure

2001-10-11

arxiv.org/abs/math/0110117v1

Mathematics

Differential Geometry

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

Scientific paper

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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