On the Gauss Mapping for Hypersurfaces of Constant Mean Curvature in the Sphere.
Katsumi Nomizu, Brian Smyth (1969)
Commentarii mathematici Helvetici
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Katsumi Nomizu, Brian Smyth (1969)
Commentarii mathematici Helvetici
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Bennett Palmer (1990)
Commentarii mathematici Helvetici
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Y.L. Xin (1991)
Commentarii mathematici Helvetici
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Qing-Ming Cheng, Susumu Ishikawa (1998)
Manuscripta mathematica
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Bo Guan, Joel Spruck (2010)
Journal of the European Mathematical Society
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This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.
Wolfgang Kühnel, Markus Becker (1996)
Mathematische Zeitschrift
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Andrejs E. Treibergs (1982)
Inventiones mathematicae
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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.
Klaus Steffen, Frank Duzaar (1994)
Journal für die reine und angewandte Mathematik
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