A note on Lie algebroids which arise from groupoid actions
Kirill Mackenzie (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Kirill Mackenzie (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Kirill Mackenzie (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
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R. A. Bowshell (1971)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Georges Giraud, Michel Boyom (2004)
Open Mathematics
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We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.
Kubarski, Jan
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The discourse begins with a definition of a Lie algebroid which is a vector bundle over a manifold with an -Lie algebra structure on the smooth section module and a bundle morphism which induces a Lie algebra morphism on the smooth section modules. If has constant rank, the Lie algebroid is called regular. (A monograph on the theory of Lie groupoids and Lie algebroids is published by [Lie groupoids and Lie algebroids in differential geometry (1987; Zbl 0683.53029)].) A principal...