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Rigidity of minimal submanifolds with flat normal bundle
- Authors
- 서검교
- Issue Date
- Jul-2008
- Publisher
- 대한수학회
- Keywords
- minimal submanifolds; Bernstein type theorem; flat normal bundle
- Citation
- 대한수학회논문집, v.23, no.3, pp 421 - 426
- Pages
- 6
- Journal Title
- 대한수학회논문집
- Volume
- 23
- Number
- 3
- Start Page
- 421
- End Page
- 426
- ISSN
- 1225-1763
2234-3024
- Abstract
- 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.
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