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arXiv 2018-09-08 0 views

Highly curved orbit spaces

Gorodski, Claudio

Original · EN

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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