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- Hermitian_manifold abstract "In mathematics, a Hermitian manifold is the complex analogue of a Riemannian manifold. Specifically, 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.A complex structure is essentially an almost complex structure with an integrability condition, and this condition yields an unitary structure (U(n) structure) on the manifold. By dropping this condition we get an almost Hermitian manifold.On any almost Hermitian manifold we can introduce a fundamental 2-form, or cosymplectic structure, that depends only on the chosen metric and almost complex structure. This form is always non-degenerate, with the suitable integrability condition (of it also being closed and thus a symplectic form) we get an almost Kähler structure. If both almost complex structure and fundamental form are integrable, we have a Kähler structure.".
- Hermitian_manifold wikiPageID "2640459".
- Hermitian_manifold wikiPageRevisionID "597641694".
- Hermitian_manifold hasPhotoCollection Hermitian_manifold.
- Hermitian_manifold subject Category:Complex_manifolds.
- Hermitian_manifold subject Category:Riemannian_geometry.
- Hermitian_manifold subject Category:Structures_on_manifolds.
- Hermitian_manifold type Artifact100021939.
- Hermitian_manifold type ComplexManifolds.
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- Hermitian_manifold type Manifold103717750.
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- Hermitian_manifold type StructuresOnManifolds.
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- Hermitian_manifold comment "In mathematics, a Hermitian manifold is the complex analogue of a Riemannian manifold. Specifically, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space.".
- Hermitian_manifold label "Hermitian manifold".
- Hermitian_manifold sameAs 에르미트_다양체.
- Hermitian_manifold sameAs m.07tn9x.
- Hermitian_manifold sameAs Q5741935.
- Hermitian_manifold sameAs Q5741935.
- Hermitian_manifold sameAs Hermitian_manifold.
- Hermitian_manifold wasDerivedFrom Hermitian_manifold?oldid=597641694.
- Hermitian_manifold isPrimaryTopicOf Hermitian_manifold.