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arXiv · 1809.02865

Highly curved orbit spaces

Claudio Gorodski
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Abstract

It is known that the infimum of the sectional curvatures (on the regular part) of orbit spaces of isometric actions on unit spheres in bounded above by $4$. We show that the infimum is $1$ for "most" actions, and determine the cases in which it is bigger than $1$.

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Claudio Gorodski. 2018-09-08. Highly curved orbit spaces. https://arxiv.org/abs/1809.02865

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