Hypersurfaces of Constant Curvature in Hyperbolic Space II

Details Hypersurfaces of Constant Curvature in Hyperbolic Space II Hypersurfaces of Constant Curvature in Hyperbolic Space II

2008-10-09

arxiv.org/abs/0810.1781v2

Mathematics

Differential Geometry

revised for publication

Scientific paper

We find complete hypersurfaces of constant curvature in hyperbolic space with
a prescribed asymptotic boundary at infinity for a general class of (elliptic)
curvature functions which includes the higher order mean curvatures and their
curvature quotients.

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