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arXiv:2007.04437 [math.DG]AbstractReferencesReviewsResources

A nonexistence result for CMC surfaces in hyperbolic 3-manifolds

William H. Meeks III, Alvaro K. Ramos

Published 2020-07-08Version 1

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.

Comments: 6 pages, 1 figure
Categories: math.DG
Subjects: 53A10, 49Q05, 53C42
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