Low dimensional Singular Riemannian Foliations in spheres

Details Low dimensional Singular Riemannian Foliations in spheres Low dimensional Singular Riemannian Foliations in spheres

2012-03-27

arxiv.org/abs/1203.6113v1

Mathematics

Differential Geometry

44 pages

Scientific paper

Singular Riemannian Foliations are particular types of foliations on Riemannian manifolds, in which leaves locally stay at a constant distance from each other. Singular Riemannian Foliations in round spheres play a special role, since they provide "infinitesimal information" about general Singular Riemannian Foliations. In this paper we show that Singular Riemannian Foliations in spheres, of dimension at most 3, are orbits of an isometric group action.

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