A Note on Riemannian Submersions with Umbilical Fibres

T. Tshikuna-Matamba

T. Tshikuna-Matamba Departement de Mathematiques, Institut Superieur Pedagogique de Kananga, Congo

Keywords: Riemannian submersions, almost contact metric manifolds, umbilicity, almost contact metric submersions.

Abstract

In this paper, we discuss some geometric properties of Riemannian submersions whose fibres are totally contact umbilical. Some interrelations between totally contact umbilic, totally geodesic and minimality are established.

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