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Extension d'un feuilletage de Lie minimal d'une variété compacte

2006/02/08 by Cyrille Dadi, Dadi, Cyrille, Hassimiou Diallo +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #53C12 #Dermatological and Skeletal Disorders #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53C12

paper · pdf · doi:10.48550/arxiv.math/0602164

12 pages

openalex publication_date 2006/02/08 · arxiv created 2006/06/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to show that any extension of a minimal Lie foliation on a compact manifold is a transversaly Riemannian g\h- foliation with trivial normal bundle. This result permits to classify the extensions of a minimal Lie foliation on a compact manifold from the Lie subgroups of its Lie group.

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