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

Antonio Caminha·Henrique F. de Lima
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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.

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Antonio Caminha, Henrique F. de Lima. 2006-09-29. Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products. https://arxiv.org/abs/math/0609602

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