## Stability of tangential locally conformal symplectic forms.(English)Zbl 1318.53018

The author defines a tangential Lichnerowicz cohomology on foliated manifolds and shows that on a smooth manifold $$M$$ and for a tangentially closed 1-form $$\theta$$ on $$M$$, the tangential Lichnerowicz cohomology depends only on the tangential cohomology class of $$\theta$$. He also proves a version of a de Rham-type theorem for tangential Lichnerowicz cohomology and some results concerning the stability of tangential locally conformal symplectic forms. An interesting example is also presented.

### MSC:

 53C12 Foliations (differential geometric aspects) 58A12 de Rham theory in global analysis 53D99 Symplectic geometry, contact geometry 57R17 Symplectic and contact topology in high or arbitrary dimension
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### References:

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