About: Fundamental vector field

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Fundamental vector field Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Whole100003553, within Data Space : dbpedia.org associated with source document(s)
QRcode icon

http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FFundamental_vector_field

In the study of mathematics and especially differential geometry, fundamental vector fields are an instrument that describes the infinitesimal behaviour of a smooth Lie group action on a smooth manifold. Such vector fields find important applications in the study of Lie theory, symplectic geometry, and the study of Hamiltonian group actions.

Attributes	Values
rdf:type	agent yago:WikicatSmoothManifolds yago:Artifact100021939 yago:Conduit103089014 yago:Manifold103717750 yago:Object100002684 yago:Passage103895293 yago:PhysicalEntity100001930 yago:Pipe103944672 yago:YagoGeoEntity yago:YagoPermanentlyLocatedEntity yago:Tube104493505 yago:Way104564698 yago:Whole100003553
rdfs:label	Champ vectoriel fondamental (fr) Fundamental vector field (en)
rdfs:comment	In the study of mathematics and especially differential geometry, fundamental vector fields are an instrument that describes the infinitesimal behaviour of a smooth Lie group action on a smooth manifold. Such vector fields find important applications in the study of Lie theory, symplectic geometry, and the study of Hamiltonian group actions. (en) En géométrie différentielle, un champ vectoriel fondamental est un certain type de champ vectoriel sur un fibré principal. (fr)
dcterms:subject	Smooth manifolds Symplectic geometry Hamiltonian mechanics Lie groups
Wikipage page ID	3946232 (xsd:integer)
Wikipage revision ID	994807149 (xsd:integer)
Link from a Wikipage to another Wikipage	Smooth manifolds Symplectic geometry Vector field Vector space Integral curve Interior product Lie group Lie group action Lie theory Null vector Hamiltonian mechanics Mathematics Lie algebra Smooth function Fundamental vector field Physics Lie groups Flow (mathematics) Diffeomorphism Group action (mathematics) Hamiltonian vector field Symplectic geometry Diffeomorphisms Differentiable manifold Differential geometry Ordinary differential equation Smooth manifold Symplectic vector field Moment map Symplectomorphisms Differential of a smooth map
sameAs	Fundamental vector field Fundamental vector field Fundamental vector field Fundamental vector field Fundamental vector field
dbp:wikiPageUsesTemplate	dbt:Reflist
has abstract	In the study of mathematics and especially differential geometry, fundamental vector fields are an instrument that describes the infinitesimal behaviour of a smooth Lie group action on a smooth manifold. Such vector fields find important applications in the study of Lie theory, symplectic geometry, and the study of Hamiltonian group actions. (en) En géométrie différentielle, un champ vectoriel fondamental est un certain type de champ vectoriel sur un fibré principal. (fr)
gold:hypernym	Instrument
prov:wasDerivedFrom	wikipedia-en:Fundamental_vector_field?oldid=994807149&ns=0
page length (characters) of wiki page	6986 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Fundamental_vector_field
is Link from a Wikipage to another Wikipage of	Curvature form Lie group action Connection (principal bundle) Fundamental vector field Equivariant differential form Vertical and horizontal bundles Fundamental field
is Wikipage redirect of	Fundamental field
is foaf:primaryTopic of	wikipedia-en:Fundamental_vector_field

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 60 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software