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- Lie_algebroid abstract "In mathematics, Lie algebroids serve the same role in the theory of Lie groupoids that Lie algebras serve in the theory of Lie groups: reducing global problems to infinitesimal ones. Just as a Lie groupoid can be thought of as a "Lie group with many objects", a Lie algebroid is like a "Lie algebra with many objects".More precisely, a Lie algebroidis a triple consisting of a vector bundle over a manifold , together with a Lie bracket on its module of sections and a morphism of vector bundles called the anchor. Here is the tangent bundle of . The anchor and the bracket are to satisfy the Leibniz rule:where and is the derivative of along the vector field . It follows thatfor all .".
- Lie_algebroid wikiPageExternalLink 0804.2451v1.
- Lie_algebroid wikiPageExternalLink 9602220.
- Lie_algebroid wikiPageID "310921".
- Lie_algebroid wikiPageRevisionID "551036909".
- Lie_algebroid hasPhotoCollection Lie_algebroid.
- Lie_algebroid subject Category:Differential_geometry.
- Lie_algebroid subject Category:Lie_algebras.
- Lie_algebroid type Abstraction100002137.
- Lie_algebroid type Algebra106012726.
- Lie_algebroid type Cognition100023271.
- Lie_algebroid type Content105809192.
- Lie_algebroid type Discipline105996646.
- Lie_algebroid type KnowledgeDomain105999266.
- Lie_algebroid type LieAlgebras.
- Lie_algebroid type Mathematics106000644.
- Lie_algebroid type PsychologicalFeature100023100.
- Lie_algebroid type PureMathematics106003682.
- Lie_algebroid type Science105999797.
- Lie_algebroid comment "In mathematics, Lie algebroids serve the same role in the theory of Lie groupoids that Lie algebras serve in the theory of Lie groups: reducing global problems to infinitesimal ones.".
- Lie_algebroid label "Lie algebroid".
- Lie_algebroid label "李代数胚".
- Lie_algebroid sameAs m.01t5gd.
- Lie_algebroid sameAs Q6543810.
- Lie_algebroid sameAs Q6543810.
- Lie_algebroid sameAs Lie_algebroid.
- Lie_algebroid wasDerivedFrom Lie_algebroid?oldid=551036909.
- Lie_algebroid isPrimaryTopicOf Lie_algebroid.