Interior curvature estimates and the asymptotic Plateau problem in hyperbolic space

DOI10.4310/jdg/1393424917zbMath1287.53051arXiv1209.4601OpenAlexW1567965987WikidataQ115169019 ScholiaQ115169019MaRDI QIDQ2447215

Bo Guan, Joel Spruck, Ling Xiao

Publication date: 24 April 2014

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4601

zbMATH Keywords

asymptotic boundaryDe Sitter space.hyperbolic principal curvatures

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (9)

On the asymptotic Plateau problem in hyperbolic space ⋮ Existence and convexity of local solutions to degenerate Hessian equations ⋮ Quantitative stability for hypersurfaces with almost constant mean curvature in the hyperbolic space ⋮ Starshaped compact hypersurfaces with prescribed Weingarten curvature in warped product manifolds ⋮ Convex hypersurfaces with prescribed scalar curvature and asymptotic boundary in hyperbolic space ⋮ Solvability of minimal graph equation under pointwise pinching condition for sectional curvatures ⋮ Optimal regularity of constant curvature graphs in hyperbolic space ⋮ Smooth solutions to asymptotic plateau type problem in hyperbolic space ⋮ Curvature estimates for convex solutions of some fully nonlinear Hessian-type equations

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