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
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
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 with flat normal bundle. Those are natural generalizations of the corresponding results of Ecker-Huisken and Schoen-Simon-Yau for minimal hypersurfaces.