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Centroaffine Surfaces of Cohomogeneity One

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Abstract

We characterize centroaffine surfaces of cohomogeneity one which have vanishing Tchebychev vector fields. Moreover, we classify centroaffine minimal surfaces of cohomogeneity one which have centroaffine metrics of constant curvature.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Kansai University, Suita, 564-8680, Japan

    Atsushi Fujioka

  2. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    Hitoshi Furuhata

Authors
  1. Atsushi Fujioka
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  2. Hitoshi Furuhata
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Corresponding author

Correspondence to Hitoshi Furuhata.

Additional information

This work was supported by JSPS KAKENHI 26400075, 26400058 and the Kansai University Grant-in-Aid for progress of research in graduate course, 2017.

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Fujioka, A., Furuhata, H. Centroaffine Surfaces of Cohomogeneity One. Bull Braz Math Soc, New Series 50, 291–313 (2019). https://doi.org/10.1007/s00574-018-0120-x

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  • DOI: https://doi.org/10.1007/s00574-018-0120-x

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