Event description
Abstract: Singular Riemannian foliations (SRFs) generalize isometric group actions and encode rich transverse geometry. In the polar case, the leaf space carries a natural orbifold structure.
Motivated by a question of K. Grove in the homogeneous setting, answered affirmatively by R. Mendes, we consider the analogous problem for locally polar foliations: does every orbifold metric on the leaf space of a locally polar foliation arise from a compatible Riemannian metric on the ambient space?
I will present an affirmative answer. This is joint work with Diego Corro (University of Cardiff).