EUDML | End-to-end gluing of constant mean curvature hypersurfaces

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Displaying similar documents to “End-to-end gluing of constant mean curvature hypersurfaces”

Construction of compact constant mean curvature hypersurfaces with topology

Mohamed Jleli (2012)

Annales de l’institut Fourier

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In this paper, we explain how the end-to-end construction together with the moduli space theory can be used to produce compact constant mean curvature hypersurfaces with nontrivial topology. For the sake of simplicity, the hypersurfaces we construct have a large group of symmetry but the method can certainly be used to provide many more examples with less symmetries.

Spacelike hypersurfaces with constant scalar curvature.

Qing-Ming Cheng, Susumu Ishikawa (1998)

Manuscripta mathematica

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The geometry of closed hypersurfaces

Sebastião de Almeida, Fabiano Brito (1987-1988)

Séminaire de théorie spectrale et géométrie

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Hypersurfaces with Constant Mean Curvature and Prescribed Area.

Frank Duzaar (1996)

Manuscripta mathematica

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On Spacelike Hypersurfaces with Constant Mean Curvature in the de Sitter Space.

Kazuo Akutagawa (1987)

Mathematische Zeitschrift

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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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Compact Hypersurfaces with a Constant Higher Mean Curvature Function.

Rolf Walter (1985)

Mathematische Annalen

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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.