Hessian of the zeta function for the Laplacian on forms
| dc.creator | Okikiolu, Kate | |
| dc.creator | Wang, Caitlin | |
| dc.date | 2002-11-06 | |
| dc.date | 2003-10-20 | |
| dc.date.accessioned | 2026-07-07T04:52:42Z | |
| dc.date.available | 2026-07-07T04:52:42Z | |
| dc.description | Let M be a compact closed n-dimensional manifold. Given a Riemannian metric on M, we consider the zeta function Z(s) for the de Rham Laplacian and the Bochner Laplacian on p-forms. The hessian of Z(s) with respect to variations of the metric is given by a pseudodifferential operator T(s). When the real part of s is less than n/2-1, we compute the principal symbol of T(s). This can be used to determine whether the general critical metric for Z(s) or one of its s derivatives has finite index, or whether it is an essential saddle point. | |
| dc.description | In this version, the hessian of the zeta function is computed for the Bochner as well as the de Rham Laplacian, and the notation in the proof is changed | |
| dc.identifier | https://arxiv.org/abs/math/0211101 | |
| dc.identifier | http://arxiv.org/abs/math/0211101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65564 | |
| dc.subject | Spectral Theory | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58J50; 58J52; 35P99 | |
| dc.title | Hessian of the zeta function for the Laplacian on forms | |
| dc.type | text |