Discretization of Riemannian manifolds applied to the Hodge Laplacian
| dc.creator | Mantuano, Tatiana | |
| dc.date | 2006-09-21 | |
| dc.date.accessioned | 2026-07-07T07:25:04Z | |
| dc.date.available | 2026-07-07T07:25:04Z | |
| dc.description | An adapted version of the proof (due to A. Weil) of the well-known de Rham Theorem allows us to compare uniformly the spectrum of the Hodge Laplacian acting on differential forms (on a compact Riemannian manifold) to the spectrum of the combinatorial Laplacian acting on cochains associated to an open cover (made of balls of sufficiently small radius). We exhibit then a lower bound for the first positive eigenvalue of the combinatorial Laplacian and deduce a lower bound for the first positive eigenvalue of the Hodge Laplacian. | |
| dc.identifier | https://arxiv.org/abs/math/0609599 | |
| dc.identifier | http://arxiv.org/abs/math/0609599 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116604 | |
| dc.subject | Differential Geometry | |
| dc.subject | Spectral Theory | |
| dc.subject | 58J50; 53C20 | |
| dc.title | Discretization of Riemannian manifolds applied to the Hodge Laplacian | |
| dc.type | text |