Mathematica Eterna
Open Access

Abstract

Geometry of submersions on manifolds of nonnegative curvature

A.Ya.Narmanov and B.A.Tursunov

In the paper it is studied curvature properties of foliation generated by submersions on manifolds of nonnegative curvature. It is proved if length of gradient vector of every coordinate function of the submersion is constant on level surface then every leaf of the foliation generated be submersion is a manifold of nonnegative section curvature.