The geometry of closed hypersurfaces
Sebastião de Almeida, Fabiano Brito (1987-1988)
Séminaire de théorie spectrale et géométrie
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Sebastião de Almeida, Fabiano Brito (1987-1988)
Séminaire de théorie spectrale et géométrie
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Defever, Filip (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Qing-Ming Cheng, Susumu Ishikawa (1998)
Manuscripta mathematica
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Johan Deprez, Piet A. Verheyen, Leopold C. A. Verstraelen (1985)
Czechoslovak Mathematical Journal
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Wolfgang Kühnel, Markus Becker (1996)
Mathematische Zeitschrift
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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.
Jayakumar Ramanathan (1990)
Mathematische Zeitschrift
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Cícero P. Aquino, Henrique F. de Lima, Fábio R. dos Santos (2016)
Colloquium Mathematicae
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We deal with complete spacelike hypersurfaces immersed with constant mean curvature in a Lorentzian space form. Under the assumption that the support functions with respect to a fixed nonzero vector are linearly related, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of the ambient space.
Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś, Leopold Verstraelen (2003)
Colloquium Mathematicae
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Solutions of the P. J. Ryan problem as well as investigations of curvature properties of Cartan hypersurfaces and Ricci-pseudosymmetric hypersurfaces lead to curvature identities holding on every hypersurface M isometrically immersed in a semi-Riemannian space form. These identities, under some assumptions, give rises to new generalized Einstein metric conditions on M. We investigate hypersurfaces satisfying such curvature conditions.
Reiko Miyaoka (1982)
Mathematische Zeitschrift
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