A nonexistence result for CMC surfaces in hyperbolic 3-manifolds
Differential Geometry
2021-08-18 v1
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.
Cite
@article{arxiv.2007.04437,
title = {A nonexistence result for CMC surfaces in hyperbolic 3-manifolds},
author = {William H. Meeks and Alvaro K. Ramos},
journal= {arXiv preprint arXiv:2007.04437},
year = {2021}
}
Comments
6 pages, 1 figure