Hypersurfaces of constant curvature in hyperbolic space II

  • Bo Guan

    Ohio State University, Columbus, United States
  • Joel Spruck

    The Johns Hopkins University, Baltimore, United States

Abstract

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.

Cite this article

Bo Guan, Joel Spruck, Hypersurfaces of constant curvature in hyperbolic space II. J. Eur. Math. Soc. 12 (2010), no. 3, pp. 797–817

DOI 10.4171/JEMS/215