Bernstein type theorems for higher codimension

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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 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.

Received: September 25, 1998 / Accepted: October 23, 1998