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Highly curved orbit spaces |
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| Affiliation: | Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, São Paulo, SP 05508-090, Brazil |
| Abstract: | It is known that the infimum of the sectional curvatures (on the regular part) of orbit spaces of isometric actions on unit spheres is 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. |
| Keywords: | 57S15 53B21 22E46 |
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