On nonnegatively curved hypersurfaces in hyperbolic space

2016/03/12 by Vincent Bonini, Shiguang Ma, Bonini, Vincent +3
Mathematics · #35B40 #53C42 #53C45 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1603.03862

openalex publication_date 2016/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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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