| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618964 | Journal of Mathematical Analysis and Applications | 2010 | 6 Pages |
Abstract
In this paper, we prove the nonexistence of L2 harmonic 1-forms on a complete super stable minimal submanifold M in hyperbolic space under the assumption that the first eigenvalue λ1(M) for the Laplace operator on M is bounded below by (2n−1)(n−1). Moreover, we provide sufficient conditions for minimal submanifolds in hyperbolic space to be super stable.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
