Abstract
In this paper we study the r-stability of closed spacelike hypersurfaces with constant r-th mean curvature in conformally stationary spacetimes of constant sectional curvature. In this setting, we obtain a characterization of r-stability through the analysis of the first eigenvalue of an operator naturally attached to the r-th mean curvature. As an application, we treat the case in which the spacetime is the de Sitter space.
Citation
Fernanda Camargo. Antonio Caminha. Henrique Fernandes de Lima. Marco Antonio Velásquez. "r-stable spacelike hypersurfaces in conformally stationary spacetimes." Kodai Math. J. 34 (3) 339 - 351, October 2011. https://doi.org/10.2996/kmj/1320935545
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