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
81/2004
Bernstein type theorems with flat normal bundle
Knut Smoczyk, Guofang Wang and Yuanlong Xin
Abstract
We prove Bernstein type theorems for minimal $n$-submanifolds in ${\mathbb R}^{n+p}$ with flat normal bundle. Those are natural generalizations of the corresponding results of Ecker-Huisken and Schoen-Simon-Yau for minimal hypersurfaces.
