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On nonnegatively curved hypersurfaces in Hn+1

  • Author(s): Bonini, V;
  • Ma, S;
  • Qing, J
  • et al.

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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