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Bull. Korean Math. Soc. 2014; 51(5): 1539-1549
Printed September 30, 2014
https://doi.org/10.4134/BKMS.2014.51.5.1539
Copyright © The Korean Mathematical Society.
On the stability of spacelike hypersurfaces with higher order mean curvature in a de Sitter space
Shicheng Zhang
Jiangsu Normal University
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
MSC numbers: 53C42, 53A10
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