Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature

DOI10.1353/AJM.2016.0009zbMath1341.53089arXiv1308.4963OpenAlexW1682296870MaRDI QIDQ2804436

Qi Ding, Juergen Jost, Yuan Long Xin

Publication date: 29 April 2016

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4963

zbMATH Keywords

Ricci curvatureminimal hypersurfacegeodesic spherecomplete Riemannian manifold

Mathematics Subject Classification ID

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

Related Items (7)

Minimal Graphic Functions on Manifolds of Nonnegative Ricci Curvature ⋮ Recent rigidity results for graphs with prescribed mean curvature ⋮ The area minimizing problem in conformal cones. I ⋮ Liouville-type theorems for minimal graphs over manifolds ⋮ Minimal graphs and graphical mean curvature flow in \(M^n\times \mathbb{R} \) ⋮ Minimal cones and self-expanding solutions for mean curvature flows ⋮ Minimal hypersurfaces in manifolds of Ricci curvature bounded below

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