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In this paper, as suitable application of the so-called Omori-Yau generalized maximum principle, we obtain a Bernstein type theorem concerning to complete hypersurfaces immersed with constant mean curvature in the product space ℝ × ℍ n . Furthermore, we treat the case that such hypersurfaces are vertical graphs.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Apr 12, 2012
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