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Isometric actions on spheres with an orbifold quotient

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Abstract

We classify representations of compact connected Lie groups whose induced action on the unit sphere has the orbit space isometric to a Riemannian orbifold.

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Acknowledgments

The second named author would like to thank Gudlaugur Thorbergsson for very constructive discussions at the time of the work on [25], during which the idea for the present paper was born. The authors also wish to thank Marco Radeschi for useful comments on a preliminary version of this paper. Finally, they would like to thank the anonymous referee for providing them with constructive comments and suggestions.

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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, Cologne, Germany

    Alexander Lytchak

Authors
  1. Claudio Gorodski
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  2. Alexander Lytchak
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Correspondence to Claudio Gorodski.

Additional information

C. Gorodski was partially supported by the CNPq Grant 303038/2013-6 and the FAPESP Project 2011/21362-2.

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Gorodski, C., Lytchak, A. Isometric actions on spheres with an orbifold quotient. Math. Ann. 365, 1041–1067 (2016). https://doi.org/10.1007/s00208-015-1304-y

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  • DOI: https://doi.org/10.1007/s00208-015-1304-y

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