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On the splitting of infinitesimal Poisson automorphisms around symplectic leaves.
- Source :
-
Differential Geometry & its Applications . Aug2018, Vol. 59, p12-34. 23p. - Publication Year :
- 2018
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09262245
- Volume :
- 59
- Database :
- Academic Search Index
- Journal :
- Differential Geometry & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 129713642
- Full Text :
- https://doi.org/10.1016/j.difgeo.2018.03.002