On the essential spectrum of the Laplacian and vague convergence of the curvature at infinity
| dc.creator | Kumura, Hironori | |
| dc.date | 2005-05-25 | |
| dc.date.accessioned | 2026-07-07T05:20:14Z | |
| dc.date.available | 2026-07-07T05:20:14Z | |
| dc.description | We shall prove that under some volume growth condition, the essential spectrum of the Laplacian contains the interval $[(n-1)^2K/4, \infty)$ if an $n$-dimensional Riemannian manifold has an end and the average of the part of the Ricci curvature on the end which lies below a nonpositive constant $(n-1)K$ converges to zero at infinity. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505523 | |
| dc.identifier | http://arxiv.org/abs/math/0505523 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75306 | |
| dc.subject | Differential Geometry | |
| dc.subject | Spectral Theory | |
| dc.subject | 58J50; 53C20; 35P05 | |
| dc.title | On the essential spectrum of the Laplacian and vague convergence of the curvature at infinity | |
| dc.type | text |