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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.

Received:
12.11.04
Published:
12.11.04
MSC Codes:
53C42
Keywords:
minimal submanifold, bernstein theorem, flat normal bundle

Related publications

inJournal
2006 Repository Open Access
Guofang Wang, Yuan-Long Xin and Knut Smoczyk

Bernstein type theorems with flat normal bundle

In: Calculus of variations and partial differential equations, 26 (2006) 1, pp. 57-67