Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Complex_differential_form> ?p ?o. }
Showing items 1 to 32 of
32
with 100 items per page.
- Complex_differential_form abstract "In mathematics, a complex differential form is a differential form on a manifold (usually a complex manifold) which is permitted to have complex coefficients.Complex forms have broad applications in differential geometry. On complex manifolds, they are fundamental and serve as the basis for much of algebraic geometry, Kähler geometry, and Hodge theory. Over non-complex manifolds, they also play a role in the study of almost complex structures, the theory of spinors, and CR structures.Typically, complex forms are considered because of some desirable decomposition that the forms admit. On a complex manifold, for instance, any complex k-form can be decomposed uniquely into a sum of so-called (p,q)-forms: roughly, wedges of p differentials of the holomorphic coordinates with q differentials of their complex conjugates. The ensemble of (p,q)-forms becomes the primitive object of study, and determines a finer geometrical structure on the manifold than the k-forms. Even finer structures exist, for example, in cases where Hodge theory applies.".
- Complex_differential_form wikiPageID "2497815".
- Complex_differential_form wikiPageRevisionID "583325890".
- Complex_differential_form date "November 2011".
- Complex_differential_form hasPhotoCollection Complex_differential_form.
- Complex_differential_form reason "This is an object. In fact, it exists? Equals something?".
- Complex_differential_form subject Category:Complex_manifolds.
- Complex_differential_form subject Category:Differential_forms.
- Complex_differential_form type Artifact100021939.
- Complex_differential_form type ComplexManifolds.
- Complex_differential_form type Conduit103089014.
- Complex_differential_form type Manifold103717750.
- Complex_differential_form type Object100002684.
- Complex_differential_form type Passage103895293.
- Complex_differential_form type PhysicalEntity100001930.
- Complex_differential_form type Pipe103944672.
- Complex_differential_form type Tube104493505.
- Complex_differential_form type Way104564698.
- Complex_differential_form type Whole100003553.
- Complex_differential_form type YagoGeoEntity.
- Complex_differential_form type YagoPermanentlyLocatedEntity.
- Complex_differential_form comment "In mathematics, a complex differential form is a differential form on a manifold (usually a complex manifold) which is permitted to have complex coefficients.Complex forms have broad applications in differential geometry. On complex manifolds, they are fundamental and serve as the basis for much of algebraic geometry, Kähler geometry, and Hodge theory.".
- Complex_differential_form label "Complex differential form".
- Complex_differential_form label "Komplexe Differentialform".
- Complex_differential_form sameAs Komplexe_Differentialform.
- Complex_differential_form sameAs 복소미분형식.
- Complex_differential_form sameAs m.07j109.
- Complex_differential_form sameAs Q1780913.
- Complex_differential_form sameAs Q1780913.
- Complex_differential_form sameAs Complex_differential_form.
- Complex_differential_form wasDerivedFrom Complex_differential_form?oldid=583325890.
- Complex_differential_form isPrimaryTopicOf Complex_differential_form.