On nonnegatively curved hypersurfaces in hyperbolic space
Differential Geometry
2017-07-20 v3
Abstract
In this paper we prove the conjecture of Alexander and Currier that states, except for covering maps of equidistant surfaces in hyperbolic 3-space, a complete, nonnegatively curved immersed hypersurface in hyperbolic space is necessarily properly embedded.
Cite
@article{arxiv.1603.03862,
title = {On nonnegatively curved hypersurfaces in hyperbolic space},
author = {Vincent Bonini and Shiguang Ma and Jie Qing},
journal= {arXiv preprint arXiv:1603.03862},
year = {2017}
}
Comments
19 pages