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arxiv: math/0609602 · v2 · submitted 2006-09-21 · 🧮 math.DG

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

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keywords completeconstantcurvaturegraphsmeanspacesverticalambient
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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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