Geometric resolution of singular Riemannian foliations

Details Geometric resolution of singular Riemannian foliations Geometric resolution of singular Riemannian foliations

2009-04-13

arxiv.org/abs/0904.2019v2

Mathematics

Differential Geometry

Topological implications corrected and improved

Scientific paper

We prove that an isometric action of a Lie group on a Riemannian manifold admits a resolution preserving the transverse geometry if and only if the action is infinitesimally polar. We provide applications concerning topological simplicity of several classes of isometric actions, including polar and variationally complete ones. All results are proven in the more general case of singular Riemannian foliations.

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