Submetries of manifolds
Submetries of manifolds
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Vitali Kapovtich, University of Toronto
Online Talk
Zoom Link: https://princeton.zoom.us/j/99576580357
Submetries are generalizations of Riemannian submersions and quotients by proper isometric group actions. They naturally arise in a number of areas such as collapsing with various curvature bounds, singular Riemannian foliations and various rigidity problems in geometry.
We study geometric and topological structure of submetries of manifolds. I will also discuss possible applications to collapsing with lower curvature bounds.