Curvature estimates for minimal submanifolds of higher codimension

DOI10.1007/s11401-008-0438-6zbMath1178.49052arXiv0709.3686OpenAlexW1968507320MaRDI QIDQ1044822

Ling Yang, Yuan Long Xin

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3686

zbMATH Keywords

minimal submanifoldcurvature estimatesBernstein type theorem

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (11)

Gap theorems for minimal submanifolds of a hyperbolic space ⋮ Curvature estimates for submanifolds with prescribed Gauss image and mean curvature ⋮ Rigidity of complete minimal hypersurfaces in a hyperbolic space ⋮ Rigidity theorems for special Lagrangian cones ⋮ Mean curvature flow via convex functions on Grassmannian manifolds ⋮ \(L^p\)-vanishing results for conformally flat manifolds and submanifolds ⋮ Bernstein type theorems of translating solitons of the mean curvature flow in higher codimension ⋮ Some Bernstein-type rigidity theorems ⋮ Convex functions on Grassmannian manifolds and Lawson-Osserman problem ⋮ Rigidity of complete minimal submanifolds in a hyperbolic space ⋮ A Bernstein type result of translating solitons

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