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ISSN 1088-6850(e) ISSN 0002-9947(p)

Constant mean curvature surfaces in $M^2\times \mathbf{R}$

Authors: David Hoffman, Jorge H. S. de Lira and Harold Rosenberg
Journal: Trans. Amer. Math. Soc. 358 (2006), 491-507
MSC (2000): Primary 53C27, 58J60
Posted: September 26, 2005
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Abstract: The subject of this paper is properly embedded surfaces in Riemannian three manifolds of the form $M^2\times \mathbf{R}$ , where is a complete Riemannian surface. When $M^2={\mathbf R}^2$ , we are in the classical domain of surfaces in ${\mathbf R}^3$ . In general, we will make some assumptions about in order to prove stronger results, or to show the effects of curvature bounds in on the behavior of surfaces in $M^2\times \mathbf{R}$ .

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