On nonnegatively curved hypersurfaces in hyperbolic space
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🧮 math.DG
keywords
hyperbolicspacecurvednonnegativelyalexandercompleteconjecturecovering
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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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