Rotational Hypersurfaces of Space Forms with Constant scalar curvature.
Maria Luiza Leite (1990)
Manuscripta mathematica
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Maria Luiza Leite (1990)
Manuscripta mathematica
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Qing-Ming Cheng, Susumu Ishikawa (1998)
Manuscripta mathematica
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Frank Duzaar (1996)
Manuscripta mathematica
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Knut Smoczyk (1998)
Manuscripta mathematica
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Qing-Ming Cheng (1994)
Manuscripta mathematica
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Haizhong Li (1996)
Mathematische Annalen
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Sebastião de Almeida, Fabiano Brito (1987-1988)
Séminaire de théorie spectrale et géométrie
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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.
Wolfgang Kühnel, Markus Becker (1996)
Mathematische Zeitschrift
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Mohamed Jleli (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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It was observed by R. Kusner and proved by J. Ratzkin that one can connect together two constant mean curvature surfaces having two ends with the same Delaunay parameter. This gluing procedure is known as a “end-to-end connected sum”. In this paper we generalize, in any dimension, this gluing procedure to construct new constant mean curvature hypersurfaces starting from some known hypersurfaces.
Reiko Miyaoka (1982)
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.
J.-H. Eschenburg (1989)
Manuscripta mathematica
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J.-H. Eschenburg (1987)
Manuscripta mathematica
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