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Displaying similar documents to “The influence of the boundary behaviour on hypersurfaces with constant mean curvature in Hn+1.”

Hypersurfaces of constant curvature in hyperbolic space II

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.