Aquino, Cícero P. Araújo, Jogli G. Batista, Márcio and de Lima, Henrique F. 2017. Uniqueness of Spacelike Hypersurfaces in a GRW Spacetime via Higher Order Mean Curvatures. Bulletin of the Brazilian Mathematical Society, New Series, Vol. 48, Issue. 1, p. 45.
Alías, L.J. and Caminha, A. 2017. On the scarcity of non-totally geodesic complete spacelike hypersurfaces of constant mean curvature in a Lie group with bi-invariant Lorentzian metric. Differential Geometry and its Applications, Vol. 51, p. 49.
Albujer, Alma L. de Lima, Henrique F. Oliveira, Arlandson M. and Velásquez, Marco Antonio L. 2017. Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson–Walker spacetimes. Differential Geometry and its Applications, Vol. 50, p. 140.
Aquino, C. Baltazar, H. and de Lima, H.F. 2017. A New Calabi–Bernstein Type Result in Spatially Closed Generalized Robertson–Walker Spacetimes. Milan Journal of Mathematics,
Aledo, Juan A. Rubio, Rafael M. and Salamanca, Juan J. 2017. 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, Vol. 111, Issue. 1, p. 115.
Aquino, Cícero and Baltazar, Halyson 2017. On the Angle of Complete Hypersurfaces in Semi-Riemannian Product Spaces. Bulletin of the Brazilian Mathematical Society, New Series,
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.
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.
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 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, Yaning and Liu, Ximin 2013. On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product. Journal of Applied Mathematics, Vol. 2013, p. 1.
Wang, Wenjie and Liu, Ximin 2013. On Bernstein-Type Theorems in Semi-Riemannian Warped Products. Advances in Mathematical Physics, Vol. 2013, p. 1.
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.
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.
Email your librarian or administrator to recommend adding this journal to your organisation's collection.
Full text views reflects the number of PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.
* Views captured on Cambridge Core between September 2016 - 24th November 2017. This data will be updated every 24 hours.