Minimal submanifolds with flat normal bundle

Fu, Hai-Ping

Fu, Hai-Ping

Kodai Math. J., Tome 33 (2010) no. 1, p. 211-216 / Harvested from Project Euclid

Résumé

Let Mⁿ (n ≤ 7) be an n-dimensional complete immersed super stable minimal submanifold in an (n + p)-dimensional Euclidean space R^n+p with flat normal bundle. We prove that if the second fundamental form A of M satisfies ∫_M |A|³ < ∞, then M is an affine n-dimensional plane.

Publié le : 2010-06-15
Classification:

@article{1278076337,
     author = {Fu, Hai-Ping},
     title = {Minimal submanifolds with flat normal bundle},
     journal = {Kodai Math. J.},
     volume = {33},
     number = {1},
     year = {2010},
     pages = { 211-216},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1278076337}
}

Fu, Hai-Ping. Minimal submanifolds with flat normal bundle. Kodai Math. J., Tome 33 (2010) no. 1, pp.  211-216. http://gdmltest.u-ga.fr/item/1278076337/