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MiS Preprint

Bernstein type theorems for higher codimension

Jürgen Jost and Yuanlong Xin


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.


Related publications

1999 Repository Open Access
Jürgen Jost and Yuan-Long Xin

Bernstein type theorems for higher codimension

In: Calculus of variations and partial differential equations, 9 (1999) 4, pp. 277-296