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.
de Lima, Henrique F., de Lima, Joseilson R. (2009)
International Journal of Mathematics and Mathematical Sciences
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Shu, Shichang (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Liu, Ximin, Su, Weihong (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Barbara Nelli, Harold Rosenberg (1997)
Annales de l'institut Fourier
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We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic -dimensional space and we obtain removable singularities theorems.
Bang-Yen Chen (2002)
Archivum Mathematicum
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First we prove a general algebraic lemma. By applying the algebraic lemma we establish a general inequality involving the Ricci curvature of an arbitrary real hypersurface in a complex hyperbolic space. We also classify real hypersurfaces with constant principal curvatures which satisfy the equality case of the inequality.
Ricardo Sa Earp, Eric Toubiana (2000-2001)
Séminaire de théorie spectrale et géométrie
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Yoshihiro Tonegawa (1996)
Mathematische Zeitschrift
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