Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Half-space theorems for mean curvature one surfaces in hyperbolic space

Author(s): Lucio Rodriguez; Harold Rosenberg
Journal: Proc. Amer. Math. Soc. 126 (1998), 2755-2762.
MSC (1991): Primary 53A10
MathSciNet review: 1458259
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Abstract | References | Similar articles | Additional information

Abstract: We give conditions which oblige properly embedded constant mean curvature one surfaces in hyperbolic 3-space to intersect. Our results are inspired by the theorem that two disjoint properly immersed minimal surfaces in $\mathbf{R}^3$ must be planes.

References:

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[S]: A. Silveira, Stability of complete noncompact surfaces with constant mean curvature, Math. Ann. 277 (1987), 629-638.

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