Bernstein type theorems for higher codimension

被引：62

作者：

Jost, J ^{[1
]}

Xin, YL

机构：

[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

[2] Fudan Univ, Math Inst, Shanghai 200433, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1999年 / 9卷 / 04期

关键词：

Arbitrary Dimension; Type Theorem; Regularity Theory; Grassmann Manifold; Minimal Graph;

D O I：

10.1007/s005260050142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show a Bernstein theorem for minimal graphs of arbitrary dimension and codimension under a bound on the slope that improves previous results and is independent of the dimension and codimension. The proof depends on the regularity theory for the harmonic Gauss map and the geometry of Grassmann manifolds.

引用

页码：277 / 296

页数：20

共 18 条

[1] FIRST VARIATION OF A VARIFOLD [J].