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S. Montiel and A. Ros, “Compact Hypersurfaces: The Alexandrov Theorem for Higher Order Mean Curvatures,” In: B. Lawson and K. Tenenblat, Eds., Differential Geometry, Longman, Essex, 1991, pp. 279-296.

has been cited by the following article:

• TITLE: A New Characterization of Totally Umbilical Hypersurfaces in de Sitter Space

  AUTHORS: Linfen Cao, Guodong Xu, Zhaohui Dai

  KEYWORDS: de Sitter Space; Spacelike Hypersurface; Higher Order Mean Curvatures

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.2, February 24, 2014

  ABSTRACT: It is shown that a compact spacelike hypersurface which is contained in the chronological future (or past) of an equator of de Sitter space is a totally umbilical round sphere if the kth mean curvature function Hk is a linear combination of Hk+1,…, Hn. This is a new angle to characterize round spheres.