New answers tagged hermitian-manifolds
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Torsion free Chern connections and Kähler manifolds
A Hermitian metric g is Kähler if $\omega_{\text{g}}(\cdot, \cdot) : = \text{g}(\text{J} \cdot, \cdot)$ is closed. This is equivalent to the components of g satisfying $\partial_k \text{g}_{i \bar{j}} ...
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