RIGIDITY OF MINIMAL SUBMANIFOLDS WITH FLAT NORMAL BUNDLE Seo, Keom-Kyo;
Let be a complete immersed super stable minimal submanifold in with fiat normal bundle. We prove that if M has finite total norm of its second fundamental form, then M is an affine n-plane. We also prove that any complete immersed super stable minimal submanifold with flat normal bundle has only one end.
minimal submanifolds;Bernstein type theorem;flat normal bundle;