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Sur le problème d'équivalence de certaines structures infinitésimales.

Abstract : After recalling the definition and some properties of Lie pseudogroups, we define regular infinitesimal structures. It is always possible to associate with such structures affine connections; we discuss the curvature and torsion of these connections. Local equivalence of two infinitesimal structures. Applications are made to the study of almost complex, almost paracomplex, almost symplectic, almost Hermitian, almost para-Hermitian, almost quaternionian and almost quaternionian of second kind structures.
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Contributor : Laurent Guillopé Connect in order to contact the contributor
Submitted on : Wednesday, December 9, 2009 - 12:09:11 AM
Last modification on : Thursday, March 5, 2020 - 2:36:01 PM
Long-term archiving on: : Thursday, October 18, 2012 - 10:25:40 AM


  • HAL Id : tel-00439921, version 1



Paulette Libermann. Sur le problème d'équivalence de certaines structures infinitésimales.. Mathématiques [math]. Université de Strasbourg, 1953. Français. ⟨tel-00439921⟩



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