On the mean curvature of spacelike submanifolds in semi-Riemannian manifolds. (English) Zbl 1097.53043
Summary: We establish some estimates for the higher-order mean curvature of a complete space-like hypersurface in space-times with sectional curvature satisfying certain conditions. We also obtain an estimate for the mean curvature of a complete space-like submanifold in semi-Riemannian space forms.
MSC:
| 53C42 | Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) |
| 53B30 | Local differential geometry of Lorentz metrics, indefinite metrics |
References:
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