Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Minimal submanifolds with small total scalar curvature in Euclidean space
Keomkyo Seo
Author information
JOURNAL FREE ACCESS

2008 Volume 31 Issue 1 Pages 113-119

Details
Abstract
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.
Content from these authors

This article cannot obtain the latest cited-by information.

© 2008 Department of Mathematics, Tokyo Institute of Technology
Previous article Next article
feedback
Top