Stable space-like hypersurfaces in the de Sitter space. (English) Zbl 1114.53057

Liu, Ximin; Deng, Junlei

Arch. Math., Brno 40, No. 2, 111-117 (2004).

Using the viewpoints of the calculus of variation, the authors study the stability of space-like hypersurfaces with constant scalar curvature immersed in de Sitter spaces.

Reviewer: Ivan Kolář (Brno)

MSC:

53C42	Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53B30	Local differential geometry of Lorentz metrics, indefinite metrics
53C50	Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
53B25	Local submanifolds

Keywords:

stability; scalar curvature