[1] N. Abe, N. Koike and S. Yamaguchi, Congruence theorems for proper semi-Riemannian hypersurfaces in a real space form, Yokohama Math. J., 35(1987), no. 1-2, 123-136. Search in Google Scholar

[2] K. Akutagawa, On spacelike hypersurfaces with constant mean curvature in a de Sitter space, Math. Z., 196(1987), no. 1, 13-19. Search in Google Scholar

[3] J.A. Aledo, J.M. Espinar, A conformal representation for linear Wein- garten surfaces in the de Sitter space, J. Geom. Phys., 57(2007), no. 8, 1669-1677. Search in Google Scholar

[4] A.C. Asperti, R.M.B. Chaves and B.C. Valério, Ruled Weingarten hyper- surfaces in the Lorentz-Minkowski space and in de Sitter space, J. Geom. Phys., 60(2010), no. 4, 553-561. Search in Google Scholar

[5] Z. Hu, M.Scherfner and S. Zhai, On spacelike hypersurfaces with constant scalar curvature in the de Sitter space, Differential Geom. Appl., 25(2007), no. 6, 594-611. Search in Google Scholar

[6] C. Gerhardt, Curvature estimates for Weingarten hypersurfaces in Rie- mannian manifolds, Adv. Calc. Var., 1(2008), no. 1, 123-132. Search in Google Scholar

[7] A. Brasil Jr., A. G. Colares and O. Palmas, Complete spacelike hypersur- faces with constant mean curvature in the de Sitter space: a gap Theorem, Illinois J. Math., 47(2003), no. 3, 847-866. Search in Google Scholar

[8] H. Li. Global rigidity theorems of hypersurfaces, Ark. Mat., 35(1997), no. 2, 327-351. 10.1007/BF02559973Search in Google Scholar

[9] Z.H. Hou, D. Yang, Linear Weingarten spacelike hypersurfaces in de Sitter space, Bull. Belg. Math. Soc. Simon Stevin, 17(2010), no. 5, 769-780. Search in Google Scholar

[10] O.C. Schn¨urer, The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds, Math. Z., 242(2002), no. 1, 159-181. Search in Google Scholar

[11] T. Otsuki, Minimal hypersurfaces in a Riemannian manifold of constant curvature, Amer. J. Math., 92(1970), no. 1, 145-173. Search in Google Scholar

[12] S. Shu, Complete spacelike hypersurfaces in a de Sitter space, Bull. Austral Math. Soc., 73(2006), no. 1, 9-16. Search in Google Scholar

[13] G. Wei, Complete hypersurfaces with constant mean curvature in a unit sphere, Monatsh. Math., 149(2006), no. 3, 251-258. Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics