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A Bernstein type theorem in ℝ × ℍ n

A Bernstein type theorem in ℝ × ℍ n 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Sociedade Brasileira de Matemática
Subject
Mathematics; Theoretical, Mathematical and Computational Physics; Mathematics, general
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-012-0003-5
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Apr 12, 2012

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