Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space.
de Lima, Henrique F., de Lima, Joseilson R. (2009)
International Journal of Mathematics and Mathematical Sciences
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de Lima, Henrique F., de Lima, Joseilson R. (2009)
International Journal of Mathematics and Mathematical Sciences
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Ximin Liu, Hongxia Li (2005)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, by using Cheng-Yau’s self-adjoint operator , we study the complete hypersurfaces in a sphere with constant scalar curvature.
Kazuo Akutagawa (1987)
Mathematische Zeitschrift
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Chen, Bang-Yen, Garay, Oscar J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Antonio Ros Mulero (1987)
Revista Matemática Iberoamericana
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A fundamental question about hypersurfaces in the Euclidean space is to decide if the sphere is the only compact hypersurface (embedded or immersed) with constant higher order mean curvature H, for some r = 1, ..., n.
Bang-Yen Chen (2002)
Archivum Mathematicum
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First we prove a general algebraic lemma. By applying the algebraic lemma we establish a general inequality involving the Ricci curvature of an arbitrary real hypersurface in a complex hyperbolic space. We also classify real hypersurfaces with constant principal curvatures which satisfy the equality case of the inequality.