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arxiv: 1708.09078 · v1 · pith:QOUCEKSEnew · submitted 2017-08-30 · 🧮 math.DG · math.RT

Focal radii of orbits

classification 🧮 math.DG math.RT
keywords aboveactionadmitsboundedcompactcurvatureseffectiveevery
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We show that every effective action of a compact Lie group $K$ on a unit sphere $S^n$ admits an explicit orbit whose principal curvatures are bounded from above by $4\sqrt{14}$.

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