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Affine structures and KV-cohomology

✍ Scribed by Michel Nguiffo Boyom; Robert A. Wolak

Book ID
104343095
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
87 KB
Volume
42
Category
Article
ISSN
0393-0440

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✦ Synopsis

We study transversely affine foliations with affine leaves from the point of view of Koszul-Vinberg modules. We have found a cohomological condition which assures that these structures determine an affine structure on the ambient manifold. The theoretical part is supplemented by suitable examples.

πŸ“œ SIMILAR VOLUMES

Poisson Cohomology of the Affine Plane
Poisson Cohomology of the Affine Plane
✍ Claude Roger; Pol Vanhaecke πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 114 KB

We compute the Poisson cohomology of homogeneous Poisson structures on the plane. The singular locus of such a Poisson structure consists of a family of lines passing through O, and we show how the dimensions of the first and second cohomology groups are related to the weight of O as a singular poin