= Hermitian symmetric space
{wiki=Hermitian_symmetric_space}
A Hermitian symmetric space is a type of Riemannian manifold that possesses a certain symmetric structure along with a compatible complex structure. More specifically, a Hermitian symmetric space is defined as a homogeneous space \\( G/K \\) where: 1. **Complex Structure**: The space has a complex manifold structure, meaning it can be described using complex coordinates, and it possesses a compatible Hermitian metric \\( g \\).
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