The curvature of orbit spaces
Claudio Gorodski, Alexander Lytchak
TL;DR
This paper studies the geometric properties of orbit spaces resulting from isometric actions on spheres, establishing a universal upper limit for their minimal curvature, which advances understanding of their geometric structure.
Contribution
It introduces a universal upper bound for the infimum of curvatures in orbit spaces of isometric sphere actions, providing new insights into their geometric constraints.
Findings
Established a universal upper bound for orbit space curvatures
Identified geometric constraints on orbit spaces of sphere actions
Enhanced understanding of curvature properties in symmetric spaces
Abstract
We investigate orbit spaces of isometric actions on unit spheres and find a universal upper bound for the infimum of their curvatures.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Geometry and complex manifolds