Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products
Differential Geometry
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0609602,
title = {Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products},
author = {Antonio Caminha and Henrique F. de Lima},
journal= {arXiv preprint arXiv:math/0609602},
year = {2007}
}
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13 pages