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A differential form $ \omega$ is a section of the exterior algebra $\Lambda^* T^* X$ of a cotangent bundle,
4
votes
Accepted
Cohomology of invariant differential forms
There is no such thing: any $\phi$-invariant exact
1-form is a differential of $\phi$-invariant function.
Indeed, let $\alpha$ be an exact $\phi$-invariant
form, $\alpha=df$, where $f$ is not $\phi$-i …