The half space property for cmc 1/2 graphs in 𝔼(-1,τ)

2013/03/15 by Laurent Mazet, Mazet, Laurent
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1303.3729

26 pages

arxiv created 2013/11/11 · arxiv updated 2013/11/12

Abstract

In this paper, we prove a half-space theorem with respect to constant mean curvature 1/2 entire graphs in \mathbbE(-1,τ). If Σ is such an entire graph and Σ' is a properly immersed constant mean curvature 1/2 surface included in the mean convex side of Σ then Σ' is a vertical translate of Σ. We also have an equivalent statement for the non mean convex side of Σ.

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