= Hermitian manifold
{wiki=Hermitian_manifold}
A Hermitian manifold is a type of complex manifold equipped with a Riemannian metric that is compatible with the complex structure. More formally, a Hermitian manifold consists of the following components: 1. **Complex Manifold**: A manifold \\( M \\) that is equipped with an atlas of charts where the transition functions are holomorphic mappings. This means that the local coordinates can be expressed in terms of complex variables.
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