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Cohomology for a group of diffeomorphisms of a manifold preserving an exact form

Mark Losik·Peter W. Michor
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Abstract

Let $M$ be a $G$-manifold and $\om$ a $G$-invariant exact $m$-form on $M$. We indicate when these data allow us to constract a cocycle on a group $G$ with values in the trivial $G$-module $\mathbb R$ and when this cocycle is nontrivial.

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Mark Losik, Peter W. Michor. 2006-02-22. Cohomology for a group of diffeomorphisms of a manifold preserving an exact form. https://doi.org/10.1142/s0219887806001429

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