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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 wikiPageLength "8762".
- Hermitian_manifold wikiPageOutDegree "52".
- Hermitian_manifold wikiPageRevisionID "639411191".
- Hermitian_manifold wikiPageWikiLink Almost_complex_manifold.
- Hermitian_manifold wikiPageWikiLink Almost_complex_structure.
- Hermitian_manifold wikiPageWikiLink Category:Complex_manifolds.
- Hermitian_manifold wikiPageWikiLink Category:Riemannian_geometry.
- Hermitian_manifold wikiPageWikiLink Category:Structures_on_manifolds.
- Hermitian_manifold wikiPageWikiLink Closed_and_exact_differential_forms.
- Hermitian_manifold wikiPageWikiLink Closed_differential_form.
- Hermitian_manifold wikiPageWikiLink Complex_differential_form.
- Hermitian_manifold wikiPageWikiLink Complex_manifold.
- Hermitian_manifold wikiPageWikiLink Complex_vector_bundle.
- Hermitian_manifold wikiPageWikiLink Complexification.
- Hermitian_manifold wikiPageWikiLink Complexified.
- Hermitian_manifold wikiPageWikiLink Definite_bilinear_form.
- Hermitian_manifold wikiPageWikiLink Definite_quadratic_form.
- Hermitian_manifold wikiPageWikiLink Degenerate_bilinear_form.
- Hermitian_manifold wikiPageWikiLink Differentiable_manifold.
- Hermitian_manifold wikiPageWikiLink Exterior_algebra.
- Hermitian_manifold wikiPageWikiLink Foundations_of_Differential_Geometry.
- Hermitian_manifold wikiPageWikiLink Frame_bundle.
- Hermitian_manifold wikiPageWikiLink G-structure.
- Hermitian_manifold wikiPageWikiLink Hermitian_form.
- Hermitian_manifold wikiPageWikiLink Hermitian_matrix.
- Hermitian_manifold wikiPageWikiLink Holomorphic_tangent_space.
- Hermitian_manifold wikiPageWikiLink Holomorphic_vector_bundle.
- Hermitian_manifold wikiPageWikiLink Holonomy.
- Hermitian_manifold wikiPageWikiLink Holonomy_group.
- Hermitian_manifold wikiPageWikiLink Inner_product.
- Hermitian_manifold wikiPageWikiLink Inner_product_space.
- Hermitian_manifold wikiPageWikiLink Integrability_condition.
- Hermitian_manifold wikiPageWikiLink Integrability_conditions_for_differential_systems.
- Hermitian_manifold wikiPageWikiLink John_Wiley_&_Sons.
- Hermitian_manifold wikiPageWikiLink Kähler_manifold.
- Hermitian_manifold wikiPageWikiLink Kähler_structure.
- Hermitian_manifold wikiPageWikiLink Levi-Civita_connection.
- Hermitian_manifold wikiPageWikiLink Mathematics.
- Hermitian_manifold wikiPageWikiLink Nondegenerate_form.
- Hermitian_manifold wikiPageWikiLink Orthonormal.
- Hermitian_manifold wikiPageWikiLink Orthonormality.
- Hermitian_manifold wikiPageWikiLink Principal_bundle.
- Hermitian_manifold wikiPageWikiLink Reduction_of_the_structure_group.
- Hermitian_manifold wikiPageWikiLink Riemannian_manifold.
- Hermitian_manifold wikiPageWikiLink Riemannian_metric.
- Hermitian_manifold wikiPageWikiLink Riemannian_volume_form.
- Hermitian_manifold wikiPageWikiLink Sesquilinear_form.
- Hermitian_manifold wikiPageWikiLink Smooth_manifold.
- Hermitian_manifold wikiPageWikiLink Symplectic_form.
- Hermitian_manifold wikiPageWikiLink Symplectic_manifold.
- Hermitian_manifold wikiPageWikiLink Symplectic_vector_space.
- Hermitian_manifold wikiPageWikiLink Tangent_space.
- Hermitian_manifold wikiPageWikiLink Unitary_frame_bundle.
- Hermitian_manifold wikiPageWikiLink Unitary_group.
- Hermitian_manifold wikiPageWikiLink Volume_form.
- Hermitian_manifold wikiPageWikiLink Wedge_product.
- Hermitian_manifold wikiPageWikiLink Wiley_Interscience.
- Hermitian_manifold wikiPageWikiLinkText "Hermitian form".
- Hermitian_manifold wikiPageWikiLinkText "Hermitian manifold".
- Hermitian_manifold wikiPageWikiLinkText "Hermitian manifold#K.C3.A4hler manifolds".
- Hermitian_manifold wikiPageWikiLinkText "Hermitian manifold#K.C3.A4hler_manifolds".
- Hermitian_manifold wikiPageWikiLinkText "almost Hermitian structure".
- Hermitian_manifold wikiPageWikiLinkText "canonical".
- Hermitian_manifold wikiPageWikiLinkText "hermitian manifold".
- Hermitian_manifold hasPhotoCollection Hermitian_manifold.
- Hermitian_manifold wikiPageUsesTemplate Template:Cite_book.
- Hermitian_manifold subject Category:Complex_manifolds.
- Hermitian_manifold subject Category:Riemannian_geometry.
- Hermitian_manifold subject Category:Structures_on_manifolds.
- Hermitian_manifold hypernym Analogue.
- Hermitian_manifold type Drug.
- Hermitian_manifold type Variable.
- 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 エルミート多様体.
- Hermitian_manifold sameAs 에르미트_다양체.
- Hermitian_manifold sameAs m.07tn9x.
- Hermitian_manifold sameAs Q5741935.
- Hermitian_manifold sameAs Q5741935.
- Hermitian_manifold wasDerivedFrom Hermitian_manifold?oldid=639411191.
- Hermitian_manifold isPrimaryTopicOf Hermitian_manifold.