Minimal submanifolds with small total scalar curvature in Euclidean space
Seo, Keomkyo
Kodai Math. J., Tome 31 (2008) no. 1, p. 113-119 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Let M be an n-dimensional complete minimal submanifold in Rn+p. Lei Ni proved that if M has sufficiently small total scalar curvature, then M has only one end. We improve the upper bound of total scalar curvature. We also prove that if M has the same upper bound of total scalar curvature, there is no nontrivial L2 harmonic 1-form on M.
Publié le : 2008-03-15
Classification:  
@article{1206454555,
     author = {Seo, Keomkyo},
     title = {Minimal submanifolds with small total scalar curvature in Euclidean space},
     journal = {Kodai Math. J.},
     volume = {31},
     number = {1},
     year = {2008},
     pages = { 113-119},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1206454555}
}

Seo, Keomkyo. Minimal submanifolds with small total scalar curvature in Euclidean space. Kodai Math. J., Tome 31 (2008) no. 1, pp.  113-119. http://gdmltest.u-ga.fr/item/1206454555/