The dual foliation of some singular Riemannian foliations

Abstract

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.

arXiv commentfinal version

References in corpus (2)

• Tits Geometry and Positive Curvature
• Polar foliations on symmetric spaces