Complete space-like submanifolds in de Sitter space.
Liu, X. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Liu, X. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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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.
R. Deszcz, M. Glogowska, M. Plaue, K. Sawicz, M. Scherfner (2011)
Kragujevac Journal of Mathematics
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Shu, Shichang, Han, Annie Yi (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Corro, A.V., Ferreira, W., Tenenblat, K. (2005)
Beiträge zur Algebra und Geometrie
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Yaning Wang, Ximin Liu (2012)
Archivum Mathematicum
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A new class of -dimensional Lorentz spaces of index 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.
Liu, Ximin, Yang, Biaogui (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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