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On nonnegatively curved hypersurfaces in Hn+1
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https://doi.org/10.1007/s00208-018-1694-8Abstract
In this paper we prove a 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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