Isoparametric hypersurfaces with less than four principal curvatures in a sphere

Toshiaki Adachi; Sadahiro Maeda

Colloquium Mathematicae (2006)

  • Volume: 105, Issue: 1, page 143-148
  • ISSN: 0010-1354

Abstract

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

How to cite

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Toshiaki Adachi, and Sadahiro Maeda. "Isoparametric hypersurfaces with less than four principal curvatures in a sphere." Colloquium Mathematicae 105.1 (2006): 143-148. <http://eudml.org/doc/283756>.

@article{ToshiakiAdachi2006,
abstract = {We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.},
author = {Toshiaki Adachi, Sadahiro Maeda},
journal = {Colloquium Mathematicae},
keywords = {Clifford hypersurfaces; minimal hypersurfaces; geodesics; circles},
language = {eng},
number = {1},
pages = {143-148},
title = {Isoparametric hypersurfaces with less than four principal curvatures in a sphere},
url = {http://eudml.org/doc/283756},
volume = {105},
year = {2006},
}

TY - JOUR
AU - Toshiaki Adachi
AU - Sadahiro Maeda
TI - Isoparametric hypersurfaces with less than four principal curvatures in a sphere
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 1
SP - 143
EP - 148
AB - We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
LA - eng
KW - Clifford hypersurfaces; minimal hypersurfaces; geodesics; circles
UR - http://eudml.org/doc/283756
ER -

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