Unimodular Lie foliations
M. Llabrés, A. Reventós (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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M. Llabrés, A. Reventós (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
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Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Janusz Grabowski (1993)
Publicacions Matemàtiques
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The main result is a Pursell-Shanks type theorem describing isomorphism of the Lie algebras of vector fields preserving generalized foliations. The result includes as well smooth as real-analytic and holomorphic cases.
Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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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...
Włodzimierz Waliszewski (1986)
Annales Polonici Mathematici
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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.