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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
40/1998

Bernstein type theorems for higher codimension

Jürgen Jost and Yuanlong Xin

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.

Received:
Oct 4, 1998
Published:
Oct 4, 1998

Related publications

inJournal
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