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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

-1 votes

Cohomology of Homogeneous Complex Manifolds

In general, the answer to your question is "no". For example, let $\mathbb{C}$ act on the standard square two-torus by translations. Clearly, this action preserves the complex structure. All the cohom …
Ken Richardson's user avatar
3 votes
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Leafwise de Rham cohomology (A true definition of differential forms along leaves)

The thing you are confused about is that leafwise differential forms are not invariant under foliation charts. Basic forms are invariant under change of foliation charts and foliated maps (in your not …
Ken Richardson's user avatar