The dual foliation of some singular Riemannian foliations

2014/08/01 by Shi, Yi · 1 citation
#53C12 #53C17 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1408.0060

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.

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• The dual foliation of polar actions on nonnegatively curved manifolds

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