@prefix rdf: . @prefix dbr: . @prefix yago: . dbr:Invariant_differential_operator rdf:type yago:WikicatDifferentialOperators , yago:Abstraction100002137 , yago:Function113783816 , yago:Operator113786413 , yago:MathematicalRelation113783581 , yago:Relation100031921 . @prefix rdfs: . dbr:Invariant_differential_operator rdfs:label "Invariant differential operator"@en , "Operador diferencial invariante"@es ; rdfs:comment "En matem\u00E1ticas y f\u00EDsica te\u00F3rica, un operador diferencial invariante es un mapeo matem\u00E1tico de algunos objetos a un objeto de tipo similar. Estos objetos son t\u00EDpicamente funciones en , las funciones en un variedad, funciones vectoriales valoradas, campos vectoriales, o m\u00E1s generalmente, secciones de un fibrado vectorial . Por lo general, la acci\u00F3n del grupo tiene el significado de un cambio de coordenadas (cambio de observador) y la invarianza significa que el operador tiene la misma expresi\u00F3n en todas las coordenadas admisibles."@es , "In mathematics and theoretical physics, an invariant differential operator is a kind of mathematical map from some objects to an object of similar type. These objects are typically functions on , functions on a manifold, vector valued functions, vector fields, or, more generally, sections of a vector bundle. Usually, the action of the group has the meaning of a change of coordinates (change of observer) and the invariance means that the operator has the same expression in all admissible coordinates."@en . @prefix foaf: . dbr:Invariant_differential_operator foaf:depiction . @prefix dcterms: . @prefix dbc: . dbr:Invariant_differential_operator dcterms:subject dbc:Differential_operators , dbc:Differential_geometry . @prefix dbo: . dbr:Invariant_differential_operator dbo:wikiPageID 6935363 ; dbo:wikiPageRevisionID 1117698500 ; dbo:wikiPageWikiLink dbr:Double_covering_group , dbr:Homogeneous_space , , dbr:Vector_bundle , , , dbr:Exterior_derivative , , dbr:Derivative , dbr:Lie_group , dbr:Conformal_Killing_equation , dbr:Generalized_Verma_module , dbr:Laplace_invariant , , dbr:Manifold , dbr:Torsion_tensor , dbr:Projective_geometry , , dbr:Change_of_coordinates , dbr:One-form , , , dbr:Mathematics , dbc:Differential_operators , , dbr:Differential_form , dbr:Geodesics , dbr:Sphere , dbr:Vector_field , dbr:Differential_operator , dbr:Conformal_geometry , dbr:Euclidean_transformation , dbr:Invariant_factorization_of_LPDOs , dbc:Differential_geometry , dbr:Euclidean_space , dbr:CR_geometry , , dbr:Theoretical_physics , dbr:Symmetry_in_mathematics , , , dbr:Null_cone , dbr:Dirac_operator , dbr:Gradient , ; dbo:wikiPageExternalLink , , , . @prefix owl: . dbr:Invariant_differential_operator owl:sameAs . @prefix ns9: . dbr:Invariant_differential_operator owl:sameAs ns9:SnjR . @prefix dbpedia-es: . dbr:Invariant_differential_operator owl:sameAs dbpedia-es:Operador_diferencial_invariante . @prefix wikidata: . dbr:Invariant_differential_operator owl:sameAs wikidata:Q1443411 . @prefix yago-res: . dbr:Invariant_differential_operator owl:sameAs yago-res:Invariant_differential_operator . @prefix dbp: . @prefix dbt: . dbr:Invariant_differential_operator dbp:wikiPageUsesTemplate dbt:Cite_book , dbt:Cite_journal ; dbo:thumbnail ; dbo:abstract "In mathematics and theoretical physics, an invariant differential operator is a kind of mathematical map from some objects to an object of similar type. These objects are typically functions on , functions on a manifold, vector valued functions, vector fields, or, more generally, sections of a vector bundle. In an invariant differential operator , the term differential operator indicates that the value of the map depends only on and the derivatives of in . The word invariant indicates that the operator contains some symmetry. This means that there is a group with a group action on the functions (or other objects in question) and this action is preserved by the operator: Usually, the action of the group has the meaning of a change of coordinates (change of observer) and the invariance means that the operator has the same expression in all admissible coordinates."@en , "En matem\u00E1ticas y f\u00EDsica te\u00F3rica, un operador diferencial invariante es un mapeo matem\u00E1tico de algunos objetos a un objeto de tipo similar. Estos objetos son t\u00EDpicamente funciones en , las funciones en un variedad, funciones vectoriales valoradas, campos vectoriales, o m\u00E1s generalmente, secciones de un fibrado vectorial . En un operador diferencial invariante , la palabra diferencial indica que el valor de la imagen depende s\u00F3lo de y la derivada de en . La palabra referencial indica que el operador contiene cierta simetr\u00EDa. Esto significa que hay un grupo que tiene una acci\u00F3n sobre las funciones (u otros objetos en cuesti\u00F3n) y esta acci\u00F3n se conmuta con la acci\u00F3n del operador: Por lo general, la acci\u00F3n del grupo tiene el significado de un cambio de coordenadas (cambio de observador) y la invarianza significa que el operador tiene la misma expresi\u00F3n en todas las coordenadas admisibles."@es . @prefix prov: . dbr:Invariant_differential_operator prov:wasDerivedFrom . @prefix xsd: . dbr:Invariant_differential_operator dbo:wikiPageLength "8950"^^xsd:nonNegativeInteger . @prefix wikipedia-en: . dbr:Invariant_differential_operator foaf:isPrimaryTopicOf wikipedia-en:Invariant_differential_operator .