Rigidity of minimal submanifolds in hyperbolic space
Differential Geometry
2010-02-23 v1
Abstract
We prove that if an -dimensional complete minimal submanifold in hyperbolic space has sufficiently small total scalar curvature then has only one end. We also prove that for such there exist no nontrivial harmonic 1-forms on .
Cite
@article{arxiv.1002.3885,
title = {Rigidity of minimal submanifolds in hyperbolic space},
author = {Keomkyo Seo},
journal= {arXiv preprint arXiv:1002.3885},
year = {2010}
}