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Some remarks on polar actions

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Abstract

We classify infinitesimally polar actions on compact Riemannian symmetric spaces of rank one. We also prove that every polar action on one of those spaces has the same orbits as an asystatic action.

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Acknowledgments

The authors would like to express their gratitude to Alexander Lytchak for very informative discussions and his kind hospitality during their stay at the University of Cologne.

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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. Institut für Geometrie und Topologie, Universität Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany

    Andreas Kollross

Authors
  1. Claudio Gorodski
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  2. Andreas Kollross
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Corresponding author

Correspondence to Andreas Kollross.

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., Kollross, A. Some remarks on polar actions. Ann Glob Anal Geom 49, 43–58 (2016). https://doi.org/10.1007/s10455-015-9479-8

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