Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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LINEAR WEINGARTEN HYPERSURFACES IN A UNIT SPHERE

  • Li, Haizhong (DEPARTMENT OF MATHEMATICAL SCIENCES TSINGHUA UNIVERSITY) ;
  • Suh, Young-Jin (DEPARTMENT OF MATHEMATICS KYUNGPOOK NATIONAL UNIVERSITY) ;
  • Wei, Guoxin (DEPARTMENT OF MATHEMATICS SAGA UNIVERSITY)
  • Published : 2009.03.31
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Abstract

In this paper, we have considered linear Weingarten hypersurfaces in a sphere and obtained some rigidity theorems. The purpose of this paper is to give some extension of the results due to Cheng-Yau [3] and Li [7].

Keywords

References

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  19. Linear Weingarten submanifolds in the hyperbolic space pp.2191-0383, 2018, https://doi.org/10.1007/s13366-018-0420-8
  20. On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces vol.18, pp.4, 2018, https://doi.org/10.1515/advgeom-2018-0005
  21. Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space pp.1793-6977, 2019, https://doi.org/10.1142/S0219887819500506
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