Geodesic
Hypersurfaces of constant curvature in hyperbolic space II
Journal of the European Mathematical Society, Tome 12 (2010) no. 3, pp. 797-817.

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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.
DOI : 10.4171/jems/215
Classification : 53-XX, 00-XX
Keywords: Hyperbolic space, hypersurfaces of constant curvature, asymptotic boundary, fully nonlinear elliptic equations 
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     author = {Bo Guan and Joel Spruck},
     title = {Hypersurfaces of constant curvature in hyperbolic space {II}},
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Bo Guan; Joel Spruck. Hypersurfaces of constant curvature in hyperbolic space II. Journal of the European Mathematical Society, Tome 12 (2010) no. 3, pp. 797-817. doi : 10.4171/jems/215. http://geodesic.mathdoc.fr/articles/10.4171/jems/215/

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