Sur certaines fibrations d'espaces homogènes riemanniens
Lionel Berard Bergery (1975)
Compositio Mathematica
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Lionel Berard Bergery (1975)
Compositio Mathematica
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Alberto Medina, Philippe Revoy (1985)
Annales scientifiques de l'École Normale Supérieure
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Nguiffo B. Boyom (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Faouzi Ammar (2000)
Publicacions Matemàtiques
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Our main purpose in this paper is to compute the second group of local cohomology of the current Lie algebra G with type Poincaré Lie group G and stated the local deformations associated.
R. Aminou, Y. Kosmann-Schwarzbach (1988)
Annales de l'I.H.P. Physique théorique
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Jean-Louis Verdier (1986-1987)
Séminaire Bourbaki
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Tong Van Duc (1990)
Collectanea Mathematica
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We prove that the Lie algebra of infinitesimal automorphisms of the transverse structure on the total space of the transverse bundle of a foliation is isomorphic to the semi-direct product of the Lie algebra of the infinitesimal automorphism of the foliation by the vector space of the transverse vector fields. The derivations of this algebra are entirely determined and we prove that this Lie algebra characterises the foliated structure of a compact Hausdorff foliation.