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

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.

arXiv comment14 pages, LaTeX

Cited by in corpus (1)

• Group cocycles on the volume-preserving diffeomorphism group