| http://dbpedia.org/ontology/abstract
|
In differential geometry, an equivariant d … In differential geometry, an equivariant differential form on a manifold M acted upon by a Lie group G is a polynomial map from the Lie algebra to the space of differential forms on M that are equivariant; i.e., In other words, an equivariant differential form is an invariant element of For an equivariant differential form , the equivariant exterior derivative of is defined by where d is the usual exterior derivative and is the interior product by the fundamental vector field generated by X.It is easy to see (use the fact the Lie derivative of along is zero) and one then puts which is called the equivariant cohomology of M (which coincides with the ordinary equivariant cohomology defined in terms of Borel construction.) The definition is due to H. Cartan. The notion has an application to the equivariant index theory. -closed or -exact forms are called equivariantly closed or equivariantly exact. The integral of an equivariantly closed form may be evaluated from its restriction to the fixed point by means of the localization formula.oint by means of the localization formula.
, 미분기하학에서 등변 미분 형식(等變微分形式, 영어: equivariant differential form)은 리 군의 작용과 호환되는, 하나의 리 대수 변수에 대한 미분 형식 계수의 다항식이다. 이를 사용하여, 드람 코호몰로지와 유사하게 등변 코호몰로지를 계산할 수 있다.
|
| http://dbpedia.org/ontology/wikiPageID
|
41418803
|
| http://dbpedia.org/ontology/wikiPageLength
|
2689
|
| http://dbpedia.org/ontology/wikiPageRevisionID
|
1117663455
|
| http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Differential_form +
, http://dbpedia.org/resource/Lie_group_action +
, http://dbpedia.org/resource/Category:Differential_geometry +
, http://dbpedia.org/resource/Polynomial_map +
, http://dbpedia.org/resource/Equivariant_cohomology +
, http://dbpedia.org/resource/Borel_construction +
, http://dbpedia.org/resource/Interior_product +
, http://dbpedia.org/resource/Fundamental_vector_field +
, http://dbpedia.org/resource/Lie_group +
, http://dbpedia.org/resource/Equivariant_index_theory +
, http://dbpedia.org/resource/Localization_formula_for_equivariant_cohomology +
|
| http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Differential-geometry-stub +
, http://dbpedia.org/resource/Template:Citation +
, http://dbpedia.org/resource/Template:Reflist +
, http://dbpedia.org/resource/Template:GBurl +
|
| http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Differential_geometry +
|
| http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Equivariant_differential_form?oldid=1117663455&ns=0 +
|
| http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Equivariant_differential_form +
|
| owl:sameAs |
http://rdf.freebase.com/ns/m.0zrrhc5 +
, http://www.wikidata.org/entity/Q17010845 +
, http://dbpedia.org/resource/Equivariant_differential_form +
, http://ko.dbpedia.org/resource/%EB%93%B1%EB%B3%80_%EB%AF%B8%EB%B6%84_%ED%98%95%EC%8B%9D +
, https://global.dbpedia.org/id/fLft +
|
| rdfs:comment |
미분기하학에서 등변 미분 형식(等變微分形式, 영어: equivariant differential form)은 리 군의 작용과 호환되는, 하나의 리 대수 변수에 대한 미분 형식 계수의 다항식이다. 이를 사용하여, 드람 코호몰로지와 유사하게 등변 코호몰로지를 계산할 수 있다.
, In differential geometry, an equivariant d … In differential geometry, an equivariant differential form on a manifold M acted upon by a Lie group G is a polynomial map from the Lie algebra to the space of differential forms on M that are equivariant; i.e., In other words, an equivariant differential form is an invariant element of For an equivariant differential form , the equivariant exterior derivative of is defined by where d is the usual exterior derivative and is the interior product by the fundamental vector field generated by X.It is easy to see (use the fact the Lie derivative of along is zero) and one then putsvative of along is zero) and one then puts
|
| rdfs:label |
등변 미분 형식
, Equivariant differential form
|
