Submetries of manifolds

Vitali Kapovtich, University of Toronto

Online Talk 

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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.