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http://dx.doi.org/10.4134/BKMS.2014.51.5.1539

ON THE STABILITY OF SPACELIKE HYPERSURFACES WITH HIGHER ORDER MEAN CURVATURE IN A DE SITTER SPACE  

Zhang, Shicheng (School of Mathematics and Statistics Jiangsu Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.5, 2014 , pp. 1539-1549 More about this Journal
Abstract
The closed spacelike hypersurfaces with higher order mean curvature is discussed in a de Sitter space. The hypersurface is proved stable if and only if it is totally umbilical.
Keywords
de Sitter space; spacelike hypersurface; stability; higher order mean curvature;
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