The Gauss image of entire graphs of higher codimension and Bernstein type theorems

DOI10.1007/s00526-012-0533-0zbMath1275.58012arXiv1009.3901OpenAlexW2094919359MaRDI QIDQ353125

Ling Yang, Yuan Long Xin, Juergen Jost

Publication date: 12 July 2013

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3901

zbMATH Keywords

harmonic mapminimal submanifoldBernstein type theoremparallel mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Harmonic maps, etc. (58E20)

Related Items (19)

Curvature estimates for minimal submanifolds of higher codimension and small G-rank ⋮ A Bernstein theorem for minimal maps with small second fundamental form ⋮ The rigidity theorems of self shrinkers via Gauss maps ⋮ Rigidity results for self-shrinking surfaces in \(\mathbb{R}^4\) ⋮ Existence and non-existence of minimal graphs ⋮ Bernstein type theorems of translating solitons of the mean curvature flow in higher codimension ⋮ Interior gradient estimates for graphic submanifolds with high codimensions ⋮ Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system ⋮ Bernstein theorems for length and area decreasing minimal maps ⋮ A spherical Bernstein theorem for minimal submanifolds of higher codimension ⋮ Singularities of mean curvature flow ⋮ Self-expanders of the mean curvature flow ⋮ Minimal submanifolds of higher codimension ⋮ A Bernstein-type theorem for minimal graphs of higher codimension via singular values ⋮ Rigidity of the Hopf fibration ⋮ Bernstein-type theorem of translating solitons in arbitrary codimension with flat normal bundle ⋮ Translating solitons of the mean curvature flow ⋮ A Bernstein type result of translating solitons ⋮ Boundary regularity for minimal graphs of higher codimensions

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