Structure D'Un Drapeau Riemannien

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).