Transformations for hypersurfaces with vanishing Gauss-Kronecker curvature.

Corro, A.V.; Ferreira, W.; Tenenblat, K.

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Stable space-like hypersurfaces in the de Sitter space

Ximin Liu, Deng Junlei (2004)

Archivum Mathematicum

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In this paper, we study the stability of space-like hypersurfaces with constant scalar curvature immersed in the de Sitter spaces.

On complete hypersurfaces with two distinct principal curvatures in a hyperbolic space.

Wu, Bingye (2010)

Balkan Journal of Geometry and its Applications (BJGA)

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Clifford hypersurfaces in a unit sphere.

Deshmukh, Sharief (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces

Yaning Wang, Ximin Liu (2012)

Archivum Mathematicum

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A new class of $(n + 1)$ -dimensional Lorentz spaces of index $1$ is introduced which satisfies some geometric conditions and can be regarded as a generalization of Lorentz space form. Then, the compact space-like hypersurface with constant scalar curvature of this spaces is investigated and a gap theorem for the hypersurface is obtained.

Scalar curvature on lightlike hypersurfaces.

Atindogbé, Cyriaque (2009)

APPS. Applied Sciences

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On hypersurfaces in space forms satisfying particular curvature conditions of Tachibana type

R. Deszcz, M. Glogowska, M. Plaue, K. Sawicz, M. Scherfner (2011)

Kragujevac Journal of Mathematics

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Complete space-like submanifolds in de Sitter space.

Liu, X. (2001)

Acta Mathematica Universitatis Comenianae. New Series

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