Aledo, Juan A. Rubio, Rafael M. and Salamanca, Juan J. 2016. Complete spacelike hypersurfaces in generalized Robertson–Walker and the null convergence condition: Calabi–Bernstein problems. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas,
Cavalcante, M. P. de Lima, H. F. and Santos, M. S. 2015. New Calabi–Bernstein type results in weighted generalized Robertson–Walker spacetimes. Acta Mathematica Hungarica, Vol. 145, Issue. 2, p. 440.
Aquino, C. P. and de Lima, H. F. 2014. On the Unicity of Complete Hypersurfaces Immersed in a Semi-Riemannian Warped Product. The Journal of Geometric Analysis, Vol. 24, Issue. 2, p. 1126.
de Lima, Henrique Fernandes and Velásquez, Marco Antonio Lázaro 2014. Uniqueness of complete spacelike hypersurfaces via their higher order mean curvatures in a conformally stationary spacetime. Mathematische Nachrichten, Vol. 287, Issue. 11-12, p. 1223.
Alías, Luis J. Colares, Antonio Gervásio and de Lima, Henrique F. 2013. On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. Bulletin of the Brazilian Mathematical Society, New Series, Vol. 44, Issue. 2, p. 195.
de Lima, Henrique F. and Parente, Ulisses L. 2013. On the geometry of maximal spacelike hypersurfaces immersed in a generalized Robertson–Walker spacetime. Annali di Matematica Pura ed Applicata, Vol. 192, Issue. 4, p. 649.
Wang, Wenjie and Liu, Ximin 2013. On Bernstein-Type Theorems in Semi-Riemannian Warped Products. Advances in Mathematical Physics, Vol. 2013, p. 1.
Wang, Yaning and Liu, Ximin 2013. On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product. Journal of Applied Mathematics, Vol. 2013, p. 1.
CAMARGO, FERNANDA CAMINHA, ANTONIO DE LIMA, HENRIQUE and PARENTE, ULISSES 2012. Generalized maximum principles and the rigidity of complete spacelike hypersurfaces. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 153, Issue. 03, p. 541.
de Lima, Henrique F. and de Lima, Joseílson R. 2012. Complete hypersurfaces immersed in a semi-Riemannian warped product. Differential Geometry and its Applications, Vol. 30, Issue. 1, p. 136.
de Lima, Henrique Fernandes 2012. On Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson–Walker spacetime. Journal of Geometry, Vol. 103, Issue. 2, p. 219.
In this paper, as a suitable application of the well-known generalized maximum principle of Omori–Yau, we obtain uniqueness results concerning to complete spacelike hypersurfaces with constant mean curvature immersed in a Robertson–Walker (RW) spacetime. As an application of such uniqueness results for the case of vertical graphs in a RW spacetime, we also get non-parametric rigidity results.
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