A+ CATEGORY SCIENTIFIC UNIT

Isoparametric hypersurfaces with less than four principal curvatures in a sphere

Volume 105 / 2006

Toshiaki Adachi, Sadahiro Maeda Colloquium Mathematicum 105 (2006), 143-148 MSC: Primary 53C35, 53C20; Secondary 53C22. DOI: 10.4064/cm105-1-13

Abstract

We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.

Authors

  • Toshiaki AdachiDepartment of Mathematics
    Nagoya Institute of Technology
    Gokiso, Nagoya, 466-8555 Japan
    e-mail
  • Sadahiro MaedaDepartment of Mathematics
    Shimane University
    Matsue, Shimane, 690-8504 Japan
    e-mail

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