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On the mean curvature of spacelike submanifolds in semi-Riemannian manifolds |
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| Institution: | 1. Cankaya University, Department of Mathematics, Öğretmenler Cad. 1406530, Ankara Türkiye;2. Institute of Space Sciences, Magurele, Bucharest, Romania;3. Firat University, Science Faculty, Department of Mathematics, 23119, Elaziğ Türkiye;4. Federal University Dutse, Science Faculty, Department of Mathematics, 7156, Jigawa Nigeria |
| Abstract: | In this paper we establish some estimates for the higher-order mean curvature of a complete spacelike hypersurface in spacetimes with sectional curvature satisfying certain condition. We also obtain the estimate for the mean curvature of a complete spacelike submanifold in semi-Riemannian space forms. |
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