A nonexistence result for CMC surfaces in hyperbolic 3-manifolds
arXiv:2007.04437 · doi:10.2140/pjm.2021.312.171
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.
6 pages, 1 figure