Low dimensional Singular Riemannian Foliations in spheres
Differential Geometry
2012-03-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1203.6113,
title = {Low dimensional Singular Riemannian Foliations in spheres},
author = {Marco Radeschi},
journal= {arXiv preprint arXiv:1203.6113},
year = {2012}
}
Comments
44 pages