The asymptotic boundary of a surface imbedded in \(H^ 3\) with nonnegative curvature

DOI10.1307/mmj/1029003554zbMath0625.53053OpenAlexW2081606500MaRDI QIDQ579644

Charles L. Epstein

Publication date: 1987

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003554

zbMATH Keywords

asymptotic boundaryboundary of a convex bodynon-negative Gauss curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

Related Items (9)

On nonnegatively curved hypersurfaces in \(\mathbb{H}^{n+1}\) ⋮ Weakly horospherically convex hypersurfaces in hyperbolic space ⋮ On the Gauss map of equivariant immersions in hyperbolic space ⋮ Hypersurfaces with nonegative Ricci curvature in \(\mathbb {H}^{n+1}\) ⋮ Arsove–Huber Theorem in Higher Dimensions ⋮ On \(n\)-superharmonic functions and some geometric applications ⋮ On a class of immersions of spheres into space forms of nonpositive curvature ⋮ Invariant conformal metrics on $\mathbb{S}^{n}$ ⋮ Hypersurfaces in hyperbolic space with support function

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