Questions tagged [hermitian-manifolds]

A Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each holomorphic tangent space. Hermitian manifolds were introduced by Cartan in 1922.

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Warped product manifold with real and complex parts

Is possible to define a warped product manifold $M=(N,g_N) \times f(F, g_F)$ where $(N, g_N)$ is a Riemannian manifold with Riemannian metric (i.e., real manifold with real structure) and $(F, g_F)$ ...