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

Abstract

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

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

References in corpus (1)

• On smoothness of isometries between orbit spaces

Cited by in corpus (7)

• On singular Finsler foliation
• Subspace foliations and collapse of closed flat manifolds
• Cohomological Tautness of Singular Riemannian Foliations
• The closure of linear foliations
• A Weyl's Law for Singular Riemannian Foliations with Applications to Invariant Theory
• Leaf Space Isometries of Singular Riemannian Foliations and Their Spectral Properties
• Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations