Abstract

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.

Disciplines

Mathematics

Number of Pages

18

Included in

Mathematics Commons

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URL: https://digitalcommons.calpoly.edu/math_fac/116