Bending invariants for hypersurfaces

Rabah Souam

Displaying similar documents to “Bending invariants for hypersurfaces”

The geometry of closed hypersurfaces

Sebastião de Almeida, Fabiano Brito (1987-1988)

Séminaire de théorie spectrale et géométrie

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Constant mean curvature hypersurfaces with constant $δ$ -invariant.

Chen, Bang-Yen, Garay, Oscar J. (2003)

International Journal of Mathematics and Mathematical Sciences

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Compact hypersurfaces with constant higher order mean curvatures.

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.

Curvature conditions on hypersurfaces with two distinct principal curvatures

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.

Complete hypersurfaces with constant scalar curvature in a sphere

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.

Closed hypersurfaces of $S^{4}$ with two constant symmetric curvatures

Sebastião Carneiro de Almeida, Fabiano Gustavo Braga Brito (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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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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Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere.

Wolfgang Kühnel, Markus Becker (1996)

Mathematische Zeitschrift

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On the quadric CMC spacelike hypersurfaces in Lorentzian space forms

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.