The dual foliation of some singular Riemannian foliations

Чер 30 2017

Publication date:
April 2017
Source:Differential Geometry and its Applications, Volume 51
Author(s): Yi Shi
In this paper, we use the methods of subriemannian geometry to study the dual foliation of the singular Riemannian foliation induced by isometric Lie group actions on a complete Riemannian manifold M. We show that under some conditions, the dual foliation has only one leaf.