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Results tagged with kahler-manifolds
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user 12233
Questions about Kähler manifolds and Kähler metrics.
5
votes
2
answers
742
views
When is a compact Lie group endowed with a left-invariant complex structure a Kähler manifol...
Let $G$ be a compact Lie group having a left-invariant complex structure $J$.
Is there a hermitian metric $h$ in $G$, compatible with the complex structure $J$, such that $G$ is a Kähler manifold?
I …
3
votes
0
answers
65
views
Vanishing of (p,q)-cohomology of compact homogeneous Kähler manifolds
Let $G$ be a semisimple compact Lie group and $M$ be a compact $G$-homogeneous manifold equipped with a equivariant complex structure. I know that all non-vanishing cohomology classes lives in $H^{(p, …