Rigidity of minimal submanifolds with flat normal bundle
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초록

Let Mn be a complete immersed super stable minimal submanifold in Rn+p with flat normal bundle. We prove that if M has finite total L2 norm of its second fundamental form, then M is an affine nplane. We also prove that any complete immersed super stable minimal submanifold with flat normal bundle has only one end.

키워드

minimal submanifoldsBernstein type theoremflat normal bundle
제목
Rigidity of minimal submanifolds with flat normal bundle
저자
서검교
DOI
10.4134/CKMS.2008.23.3.421
발행일
2008-07
저널명
대한수학회논문집
23
3
페이지
421 ~ 426