Showing papers by "Jurgen Berndt published in 2008"
Posted Content•
TL;DR: A foliation on a Riemannian manifold admits a flat section, that is, a connected closed flat submanifold that intersects each leaf of the foliation orthogonally as discussed by the authors.
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.
4 citations
Posted Content•
22 Jul 2008
TL;DR: A foliation on a Riemannian manifold admits a flat section, that is, a connected closed flat submanifold that intersects each leaf of the foliation orthogonally as mentioned in this paper.
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.
1 citations