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The curvature of orbit spaces

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Abstract

We investigate orbit spaces of isometric actions on unit spheres and find a universal upper bound for the infimum of their curvatures.

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Acknowledgements

The authors would like to thank Marco Radeschi for interesting discussions and useful comments.

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Authors and Affiliations

  1. Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, São Paulo, SP, 05508-090, Brazil

    Claudio Gorodski

  2. Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931, Köln, Germany

    Alexander Lytchak

Authors
  1. Claudio Gorodski
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  2. Alexander Lytchak
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Corresponding author

Correspondence to Claudio Gorodski.

Additional information

Claudio Gorodski has been partially supported by the CNPq Grant 303038/2013-6 and the FAPESP Project 2011/21362-2.

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Gorodski, C., Lytchak, A. The curvature of orbit spaces. Geom Dedicata 190, 135–142 (2017). https://doi.org/10.1007/s10711-017-0231-3

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  • DOI: https://doi.org/10.1007/s10711-017-0231-3

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