Bounds on Accumulation Rates of Eigenvalues on Manifolds with Degenerating Metrics
| dc.creator | McGowan, Jeffrey | |
| dc.date | 2003-11-14 | |
| dc.date | 2004-01-09 | |
| dc.date.accessioned | 2026-07-07T05:02:55Z | |
| dc.date.available | 2026-07-07T05:02:55Z | |
| dc.description | We consider a family of manifolds with a class of degenerating warped product metrics $g_ε=ρ(ε,t)^{2a}dt^2 +ρ(ε,t)^{2b}ds_M^2$, with $M$ compact, $ρ$ homogeneous degree one, $a \le -1$ and $b > 0$. We study the Laplace operator acting on $L^{2}$ differential $p$-forms and give sharp accumulation rates for eigenvalues near the bottom of the essential spectrum of the limit manifold with metric $g_{0}$. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311249 | |
| dc.identifier | http://arxiv.org/abs/math/0311249 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69203 | |
| dc.subject | Differential Geometry | |
| dc.subject | Spectral Theory | |
| dc.subject | 58G25; 58A14 | |
| dc.title | Bounds on Accumulation Rates of Eigenvalues on Manifolds with Degenerating Metrics | |
| dc.type | text |