2020
DOI: 10.48550/arxiv.2007.04437
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A nonexistence result for CMC surfaces in hyperbolic 3-manifolds

William H. Meeks,
Alvaro K. Ramos

Abstract: We prove that a complete hyperbolic 3-manifold of finite volume does not admit a properly embedded noncompact surface of finite topology with constant mean curvature greater than or equal to 1.

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