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

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.

arXiv comment12 pages

References in corpus (1)

• A general halfspace theorem for constant mean curvature surfaces

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