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arXiv · 1206.3499

The half-space property and entire positive minimal graphs in M x R

Harold Rosenberg·Felix Schulze·Joel Spruck
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Abstract

We show that a properly immersed minimal hypersurface in M x R_+ equals some M x {c} when M is a complete, recurrent n-dimensional Riemannian manifold with bounded curvature. If on the other hand, M has nonnegative Ricci curvature with curvature bounded below, the same result holds for any positive entire minimal graph over M.

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Harold Rosenberg, Felix Schulze, Joel Spruck. 2012-06-15. The half-space property and entire positive minimal graphs in M x R. https://arxiv.org/abs/1206.3499

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