English

Closure of singular foliations: the proof of Molino's conjecture

Differential Geometry 2019-02-20 v2

Abstract

In this paper we prove the conjecture of Molino that for every singular Riemannian foliation (M,F)(M,\mathcal{F}), the partition Fˉ\bar{\mathcal{F}} given by the closures of the leaves of F\mathcal{F} is again a singular Riemannian foliation.

Keywords

Cite

@article{arxiv.1608.03552,
  title  = {Closure of singular foliations: the proof of Molino's conjecture},
  author = {Marcos M. Alexandrino and Marco Radeschi},
  journal= {arXiv preprint arXiv:1608.03552},
  year   = {2019}
}

Comments

15 pages - Minor changes in the introduction. Example 1.1 added