Hyperpolar Homogeneous Foliations on Noncompact Symmetric Spaces
نویسندگان
چکیده
We introduce examples of hyperpolar actions on noncompact symmetric spaces that induce a regular foliation. We study some properties of these actions. Finally, we show that any hyperpolar action on a noncompact symmetric space that induces a regular foliation is one of these examples.
منابع مشابه
Hyperpolar Homogeneous Foliations on Symmetric Spaces of Noncompact Type
Abstract. A foliation F on a Riemannian manifold M is hyperpolar if it admits a flat section, that is, a connected closed flat submanifold of M that intersects each leaf of F orthogonally. In this article we classify the hyperpolar homogeneous foliations on every Riemannian symmetric space M of noncompact type. These foliations are constructed as follows. Let Φ be an orthogonal subset of a set ...
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تاریخ انتشار 2009