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

2006/09/21 by Antonio Caminha, Caminha, Antonio, Henrique F. de Lima +1
Mathematics · #53B30 #53C42 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B30 #msc:53C42 #msc:53C50

paper · pdf · doi:10.48550/arxiv.math/0609602

13 pages

arxiv created 2006/09/29 · arxiv updated 2009/12/01

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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