Journal of East China Normal University(Natural Science) >

2014 , Vol. 2014 >Issue 6: 12 - 16

DOI: https://doi.org/10.3969/j.issn.1000-5641.2014.06.003

Article

Biharmonic hypersurfaces with at most twodistinct principal curvatures in Esn+1

  • YANG Chao ,
  • LIU Jian-Cheng
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  • College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Online published: 2015-02-07

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Abstract

In this paper, we studied biharmonic hypersurfaces of pseudo-Euclidean space Esn+1with at most two distinct principal curvatures. Assume the shape operator is diagonalizable, we proved that such hypersurfaces are minimal.

Key words： pseudo-Euclidean space; biharmonic hypersurface; shape operator; diagonalizable

Cite this article

YANG Chao , LIU Jian-Cheng . Biharmonic hypersurfaces with at most twodistinct principal curvatures in Esn+1[J]. Journal of East China Normal University(Natural Science), 2014 , 2014(6) : 12 -16 . DOI: 10.3969/j.issn.1000-5641.2014.06.003

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