Hyperpolar homogeneous foliations on symmetric spaces of noncompact type
Differential Geometry
2010-03-01 v3
Abstract
A foliation on a Riemannian manifold is hyperpolar if it admits a flat section, that is, a connected closed flat submanifold that intersects each leaf of the foliation orthogonally. In this article we classify the hyperpolar homogeneous foliations on every Riemannian symmetric space of noncompact type.
Keywords
Cite
@article{arxiv.0807.3517,
title = {Hyperpolar homogeneous foliations on symmetric spaces of noncompact type},
author = {J. Berndt and J. C. Diaz-Ramos and H. Tamaru},
journal= {arXiv preprint arXiv:0807.3517},
year = {2010}
}
Comments
38 pages, some minor problems in Section 6 have been corrected