English

Parallel Focal Structure and Singular Riemannian Foliations

Differential Geometry 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0403050,
  title  = {Parallel Focal Structure and Singular Riemannian Foliations},
  author = {Dirk Toeben},
  journal= {arXiv preprint arXiv:math/0403050},
  year   = {2007}
}

Comments

28 pages, article version of thesis