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Journal of the European Mathematical Society

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Volume 12, Issue 3, 2010, pp. 797–817
DOI: 10.4171/JEMS/215

Published online: 2010-04-20

Hypersurfaces of constant curvature in hyperbolic space II

Bo Guan[1] and Joel Spruck[2]

(1) Ohio State University, Columbus, United States
(2) The Johns Hopkins University, Baltimore, United States

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.

Keywords: Hyperbolic space, hypersurfaces of constant curvature, asymptotic boundary, fully nonlinear elliptic equations

Guan Bo, Spruck Joel: Hypersurfaces of constant curvature in hyperbolic space II. J. Eur. Math. Soc. 12 (2010), 797-817. doi: 10.4171/JEMS/215