We now define a Hermitian manifold is a complex manifold in which unmixed components of metric tensor vanish $g_{ij}=g_{\bar{i}\bar{j}}=0$. Is this a propert of a Hermitian manifold? Or is it an extra imposed condition on the metric - this case Kaehler metric?
2025-01-13 02:48:19.1736736499
One of Hermitian metric's properties?
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