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Questions about Kähler manifolds and Kähler metrics.

5 votes

Can a metric conformal to a Kahler metric be Kahler?

The paper by Apostolov, Calderbank, and Gauduchon that Francesco mentions find different Kaehler structures whose associated Riemannian metrics are conformal to each other. But they correspond to diff …
Spiro Karigiannis's user avatar
26 votes
Accepted

When is a Form a Kähler Form?

I decided to make my comment into a more detailed answer. When $M$ has an almost complex structure $J$, then one can talk about smooth complex-valued differential forms of type $(p,q)$ in the usual wa …
Spiro Karigiannis's user avatar