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arXiv · 1603.03862

On nonnegatively curved hypersurfaces in hyperbolic space

Vincent Bonini·Shiguang Ma·Jie Qing
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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.

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Vincent Bonini, Shiguang Ma, Jie Qing. 2016-03-12. On nonnegatively curved hypersurfaces in hyperbolic space. https://arxiv.org/abs/1603.03862

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