Highly curved orbit spaces
classification
🧮 math.DG
math.MGmath.RT
keywords
actionsinfimumorbitspacesabovebiggerboundedcases
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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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