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Questions about Kähler manifolds and Kähler metrics.

6 votes
1 answer
635 views

Kahler version of Darboux's Theorem

In symplectic geometry, Darboux's theorem says that locally, any symplectic manifold of dimension $2n$ looks like symplectic Euclidean space (that is, there is some set of coordinates $(x_i, y_i)$ suc …
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15 votes
2 answers
823 views

Darboux-like theorems

Related to Kahler version of Darboux's Theorem I know a few theorems that feel like Darboux's theorem. By that, I mean some kind of geometry based around a "pointwise" condition and the existence of …
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  • 4,991