Parallel Focal Structure and Singular Riemannian Foliations

Abstract

We prove that a submanifold with parallel focal structure, which is a generalization of isoparametric and equifocal submanifolds, induces a singular Riemannian foliation of the ambient space by its parallel and focal manifolds.

28 pages, article version of thesis

References in corpus (2)

• Isoparametric submanifolds and a Chevalley-type restriction theorem
• Singular Riemannian Foliations with Sections