The half space property for cmc $1/2$ graphs in $\mathbb{E}(-1,τ)$

Laurent Mazet

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arXiv · 1303.3729

The half space property for cmc $1/2$ graphs in $\mathbb{E}(-1,τ)$

Laurent Mazet

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Abstract

In this paper, we prove a half-space theorem with respect to constant mean curvature $1/2$ entire graphs in $\mathbb{E(-1,τ)}$. 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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BibTeX RIS

Laurent Mazet. 2013-11-11. The half space property for cmc $1/2$ graphs in $\mathbb{E}(-1,τ)$. https://arxiv.org/abs/1303.3729

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