| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606663 | Differential Geometry and its Applications | 2008 | 4 Pages |
Abstract
Suppose that M is a compact orientable hypersurface embedded in a compact n-dimensional orientable Riemannian manifold N. Suppose that the Ricci curvature of N is bounded below by a positive constant k . We show that 2λ1>k−(n−1)maxM|H|2λ1>k−(n−1)maxM|H| where λ1λ1 is the first eigenvalue of the Laplacian of M and H is the mean curvature of M.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pak Tung Ho,