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Splitting theorems for Poisson and related structures. (English) Zbl 1425.53103
This paper gives a new approach of the Weinstein splitting theorem, that leads to various generalizations. First, the authors discuss the linearization of Euler-like vector fields and the resulting tubular neighborhood embeddings. Then, they apply this to anchored vector bundles and obtain a normal form theorem along transversals. They also obtain similar transversal normal form theorems in new contexts. This work includes also equivariant versions of the results.

##### MSC:
 53D17 Poisson manifolds; Poisson groupoids and algebroids
##### Keywords:
splitting theorems; Poisson structures
Full Text:
##### References:
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