Riemannian foliations of spheres
Differential Geometry
2016-07-20 v1
Abstract
We show that a Riemannian foliation on a topological -sphere has leaf dimension 1 or 3 unless n=15 and the Riemannian foliation is given by the fibers of a Riemannian submersion to an 8-dimensional sphere. This allows us to classify Riemannian foliations on round spheres up to metric congruence.
Keywords
Cite
@article{arxiv.1309.7884,
title = {Riemannian foliations of spheres},
author = {Alexander Lytchak and Burkhard Wilking},
journal= {arXiv preprint arXiv:1309.7884},
year = {2016}
}
Comments
17 pages