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... > topology > algebraic topology > manifold > differentiable manifold > Riemannian manifold > Hermitian manifold
... > geometry > topological space > manifold > differentiable manifold > Riemannian manifold > Hermitian manifold
geometry > differential geometry > differentiable manifold > Riemannian manifold > Hermitian manifold
topology > differential topology > differentiable manifold > Riemannian manifold > Hermitian manifold
geometry > differential geometry > Riemannian geometry > Riemannian manifold > Hermitian manifold
... > topology > algebraic topology > manifold > differentiable manifold > complex manifold > Hermitian manifold
... > geometry > topological space > manifold > differentiable manifold > complex manifold > Hermitian manifold
geometry > differential geometry > differentiable manifold > complex manifold > Hermitian manifold
topology > differential topology > differentiable manifold > complex manifold > Hermitian manifold
geometry > complex geometry > complex manifold > Hermitian manifold

Preferred term

Hermitian manifold  

Definition

  • In mathematics, and more specifically in differential geometry, a Hermitian manifold is the complex analogue of a Riemannian manifold. More precisely, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space. One can also define a Hermitian manifold as a real manifold with a Riemannian metric that preserves a complex structure.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hermitian_manifold)

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http://data.loterre.fr/ark:/67375/PSR-PHRCLFHH-K

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