Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898274 | Differential Geometry and its Applications | 2018 | 23 Pages |
Abstract
A geometric description of the first Poisson cohomology groups is given in the semilocal context, around (possibly singular) symplectic leaves. This result is based on the splitting theorems for infinitesimal automorphisms of coupling Poisson structures which describe the interaction between the tangential and transversal data of the characteristic distributions. As a consequence, we derive some criteria of vanishing of the first Poisson cohomology groups and apply the general splitting formulas to some particular classes of Poisson structures associated with singular symplectic foliations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Eduardo Velasco-Barreras, Yury Vorobiev,