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초록· 키워드
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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.
목차
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참고문헌 (14)
참고문헌 신청
C. Terng / 1987 / Submanifolds with flat normal bundle / Math. Ann 277 : 95 ~ 111
D. Fischer-Colbrie / 1980 / The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature / Comm. Pure Appl. Math 33 : 199 ~ 211
H. Cao / 1997 / The structure of stable minimal hypersurfaces in Rn+1 / Math. Res. Lett 4 : 637 ~ 644
J. Michael / 1973 / Sobolev and mean-value inequalities on generalized submanifolds of Rn / Comm. Pure. Appl. Math 26 : 361 ~ 379
J. Spruck / 1998 / On stable complete minimal hypersurfaces in Rn+1 / Amer. J. Math 120 : 103 ~ 116
D. Fischer-Colbrie / 1980 / The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature / Comm. Pure Appl. Math 33 : 199 ~ 211
H. Cao / 1997 / The structure of stable minimal hypersurfaces in Rn+1 / Math. Res. Lett 4 : 637 ~ 644
J. Michael / 1973 / Sobolev and mean-value inequalities on generalized submanifolds of Rn / Comm. Pure. Appl. Math 26 : 361 ~ 379
J. Spruck / 1998 / On stable complete minimal hypersurfaces in Rn+1 / Amer. J. Math 120 : 103 ~ 116
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