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Rigidity of minimal submanifolds with flat normal bundle
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7초록
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 submanifolds; Bernstein type theorem; flat normal bundle
- 제목
- Rigidity of minimal submanifolds with flat normal bundle
- 저자
- 서검교
- 발행일
- 2008-07
- 저널명
- 대한수학회논문집
- 권
- 23
- 호
- 3
- 페이지
- 421 ~ 426