| dbo:abstract |
In differential geometry, the Kosmann lift, named after Yvette Kosmann-Schwarzbach, of a vector field on a Riemannian manifold is the canonical projection on the orthonormal frame bundle of its natural lift defined on the bundle of linear frames. Generalisations exist for any given reductive G-structure. (en) In geometria differenziale, il rilevamento di Kosmann (in inglese Kosmann lift) di un campo vettoriale , definito su una varietà riemanniana , è la proiezione canonica sul fibrato dei riferimenti ortonormali del suo rilevamento naturale (in inglese natural lift) definito sul fibrato dei riferimenti lineari. Prende il nome della matematica francese Yvette Kosmann-Schwarzbach. (it) |
| dbo:wikiPageExternalLink |
http://www.emis.de/monographs/KSM/kmsbookh.pdf%7Cformat=PDF%7Ctitle=Natural https://web.archive.org/web/20170330154524/http:/www.emis.de/monographs/KSM/kmsbookh.pdf%7Carchive-date=30 |
| dbo:wikiPageID |
31984047 (xsd:integer) |
| dbo:wikiPageLength |
8078 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
1074037419 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Vector_field dbr:Vector_space dbc:Structures_on_manifolds dbr:Connection_(mathematics) dbr:Tangent_bundle dbr:Pullback_bundle dbr:Yvette_Kosmann-Schwarzbach dbr:Embedding dbr:G-structure dbc:Vector_bundles dbr:Fiber_bundle dbr:Direct_sum dbr:Foundations_of_Differential_Geometry dbr:Frame_bundle dbr:Equivariant dbr:Riemannian_manifold dbc:Riemannian_geometry dbc:Fiber_bundles dbr:Differential_geometry dbr:Section_(fiber_bundle) dbr:Vector_bundle dbr:Principal_bundle dbr:Subbundle dbr:Orthonormal_frame_bundle dbr:Spin_structure dbr:Vector_subspace dbr:Tangent_frame_bundle dbr:Spin_bundle dbr:Spin_manifold |
| dbp:wikiPageUsesTemplate |
dbt:Citation dbt:Reflist dbt:Use_dmy_dates |
| dct:subject |
dbc:Structures_on_manifolds dbc:Vector_bundles dbc:Riemannian_geometry dbc:Fiber_bundles |
| rdf:type |
yago:WikicatStructuresOnManifolds yago:Artifact100021939 yago:Object100002684 yago:PhysicalEntity100001930 yago:YagoGeoEntity yago:YagoPermanentlyLocatedEntity yago:Structure104341686 yago:Whole100003553 |
| rdfs:comment |
In differential geometry, the Kosmann lift, named after Yvette Kosmann-Schwarzbach, of a vector field on a Riemannian manifold is the canonical projection on the orthonormal frame bundle of its natural lift defined on the bundle of linear frames. Generalisations exist for any given reductive G-structure. (en) In geometria differenziale, il rilevamento di Kosmann (in inglese Kosmann lift) di un campo vettoriale , definito su una varietà riemanniana , è la proiezione canonica sul fibrato dei riferimenti ortonormali del suo rilevamento naturale (in inglese natural lift) definito sul fibrato dei riferimenti lineari. Prende il nome della matematica francese Yvette Kosmann-Schwarzbach. (it) |
| rdfs:label |
Rilevamento di Kosmann (it) Kosmann lift (en) |
| owl:sameAs |
freebase:Kosmann lift yago-res:Kosmann lift wikidata:Kosmann lift dbpedia-it:Kosmann lift https://global.dbpedia.org/id/4pVs8 |
| prov:wasDerivedFrom |
wikipedia-en:Kosmann_lift?oldid=1074037419&ns=0 |
| foaf:isPrimaryTopicOf |
wikipedia-en:Kosmann_lift |
| is dbo:knownFor of |
dbr:Yvette_Kosmann-Schwarzbach |
| is dbo:wikiPageWikiLink of |
dbr:Lie_derivative dbr:Yvette_Kosmann-Schwarzbach |
| is dbp:knownFor of |
dbr:Yvette_Kosmann-Schwarzbach |
| is foaf:primaryTopic of |
wikipedia-en:Kosmann_lift |