The regularity of harmonic maps into spheres and applications to Bernstein problems

DOI10.4310/JDG/1335209491zbMath1250.53061arXiv0912.0447OpenAlexW2963715068WikidataQ115170351 ScholiaQ115170351MaRDI QIDQ431624

Ling Yang, Yuan Long Xin, Juergen Jost

Publication date: 29 June 2012

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

Full work available at URL: https://arxiv.org/abs/0912.0447

zbMATH Keywords

minimal hypersurfaceharmonic mapa Liouville type theoremBernstein problemconvex functonregularity of harmonic maps

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (12)

The rigidity theorems of self shrinkers via Gauss maps ⋮ Rigidity results for self-shrinking surfaces in \(\mathbb{R}^4\) ⋮ Nonexistence of the quasi-harmonic spheres and harmonic spheres into certain manifold ⋮ The Gauss image of entire graphs of higher codimension and Bernstein type theorems ⋮ Gauss maps of translating solitons of mean curvature flow ⋮ Entropy, stability and harmonic map flow ⋮ Curvature estimates for minimal hypersurfaces via generalized longitude functions ⋮ Bernstein theorems for length and area decreasing minimal maps ⋮ Singularities of mean curvature flow ⋮ A Bernstein-type theorem for minimal graphs of higher codimension via singular values ⋮ A Bernstein type theorem for minimal hypersurfaces via Gauss maps ⋮ A Bernstein type result of translating solitons

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