Minimal Hypersurfaces of S4 with Constant Gauss-Kronecker Curvature.
S.C. de Almeida, F.G. Braga Brito (1987)
Mathematische Zeitschrift
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S.C. de Almeida, F.G. Braga Brito (1987)
Mathematische Zeitschrift
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Jayakumar Ramanathan (1990)
Mathematische Zeitschrift
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Małgorzata Głogowska (2005)
Banach Center Publications
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We investigate curvature properties of hypersurfaces in semi-Riemannian spaces of constant curvature with the minimal polynomial of the second fundamental tensor of second degree. We present suitable examples of hypersurfaces.
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.
Sebastiao Almeida (1985)
Mathematische Zeitschrift
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Sebastião Carneiro de Almeida, Fabiano Gustavo Braga Brito (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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.
Qing-Ming Cheng, Susumu Ishikawa (1998)
Manuscripta mathematica
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