Cyrille Dadi | Searcharxiv

arXiv2014

De la caractérisation matricielle des drapeaux complets d'extensions riemanniennes aux feuilletages riemanniens transversalement diagonaux sur une variété compacte connexe

In this paper we characterise with the matrix the complete flag of riemannian extension (see définition) on a riemannian compact manifold whose metric is bundlelike for any foliation F_{s} of this flag. This study show us that a foliation of a complete flag of riemannian extension on a riemannian compact manifold whose metric is bundlelike for any foliation of this flag is a transversely diagonal riemannian foliation (see définition).

math.DG↗

arXiv2006

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

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.

math.DG↗