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A Note of the Hyperovaloid Characterization 被引量:2

A Note of the Hyperovaloid Characterization
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摘要 : Let Lτ be the r-th affiue mean curvature of a hyperovaloid ia A^n+1, in this paper,we prove that if Lτ≠0 and for some fixed1〈i1〈…〈iτ〈n,i=1∑τLij=Ceverywhereon M, then M must be an ellipsoid, where C is a constant.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期202-205,共4页 数学季刊(英文版)
基金 Supported by the NSFC(11171235,11201318)
关键词 affine mean curvature hyperovaloid ELLIPSOID affine mean curvature hyperovaloid ellipsoid
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参考文献7

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同被引文献5

  • 1Li Anmin, Simon U, Zhao Guosong. Global affine differential geometry of hypersurfaces[M]. New York: Walter de Gruytrt, 1993. 被引量:1
  • 2Hsiung C C, Shahin J K. Affine differential geometry of closed hypersurfaces[A]. Hsiung C C. Selected papers of Chuan-Chih Hsiung [C]. London: World Scientific, 2001: 264-284. 被引量:1
  • 3Li Anmin. A characterization of ellipsoids[J]. Results in Mathematics, 1991, 20: 657-659. 被引量:1
  • 4Zhu Pengbo, Wang Baofu. Some characterizations of locally strongly convex quadric[J]. J. Sichuan University (Natural Science), 2014, 51(2): 236-239. 被引量:1
  • 5Alias L J, Colares A G. A further characterization of ellipsoids[J]. Results in Mathematics, 2005, 48: 1-8. 被引量:1

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