Bernstein type theorems for higher codimension

Jürgen Jost and Yuanlong Xin

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Submission date: 04. Oct. 1998
Pages: 20
published in: Calculus of variations and partial differential equations, 9 (1999) 4, p. 277-296 
DOI number (of the published article): 10.1007/s005260050142
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Abstract:
We show a Bernstein theorem for minimal graphs of arbitrary dimension and codimension under a bound on the slope that improve 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.