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

被引：0

作者：

J. Jost

Y. L. Xin

Ling Yang

机构：

[1] Max Planck Institute for Mathematics in the Sciences,Institute of Mathematics

[2] Fudan University,undefined

来源：

Calculus of Variations and Partial Differential Equations | 2013年 / 47卷

关键词：

58E20; 53A10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Under suitable conditions on the range of the Gauss map of a complete submanifold of Euclidean space with parallel mean curvature, we construct a strongly subharmonic function and derive a-priori estimates for the harmonic Gauss map. The required conditions here are more general than in previous work and they therefore enable us to improve substantially previous results for the Lawson–Osseman problem concerning the regularity of minimal submanifolds in higher codimension and to derive Bernstein type results.

引用

页码：711 / 737

页数：26

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