Preprint 81/2004

Bernstein type theorems with flat normal bundle

Knut Smoczyk, Guofang Wang, and Yuanlong Xin

Contact the author: Please use for correspondence this email.
Submission date: 12. Nov. 2004
Pages: 16
published in: Calculus of variations and partial differential equations, 26 (2006) 1, p. 57-67 
DOI number (of the published article): 10.1007/s00526-005-0359-0
MSC-Numbers: 53C42
Keywords and phrases: minimal submanifold, bernstein theorem, flat normal bundle
Download full preprint: PDF (182 kB), PS ziped (205 kB)

We prove Bernstein type theorems for minimal n-submanifolds in formula11 with flat normal bundle. Those are natural generalizations of the corresponding results of Ecker-Huisken and Schoen-Simon-Yau for minimal hypersurfaces.

18.10.2019, 02:12