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arXiv:math/0609602 [math.DG]AbstractReferencesReviewsResources

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

Antonio Caminha, Henrique F. de Lima

Published 2006-09-21, updated 2006-09-29Version 2

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.

Comments: 13 pages
Categories: math.DG
Subjects: 53C42, 53B30, 53C50
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