Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products

Details Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products

2006-09-21

arxiv.org/abs/math/0609602v2

Mathematics

Differential Geometry

13 pages

Scientific paper

We obtain necessary conditions for the existence of complete vertical graphs
of constant mean curvature in the Hyperbolic and Steady State spaces. In the
two-dimensional case we prove Bernstein-type results in each of these ambient
spaces.

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