$L^2$ cohomology of Manifolds with flat ends
| dc.creator | Carron, Gilles | |
| dc.date | 2001-11-07 | |
| dc.date.accessioned | 2026-07-07T04:44:25Z | |
| dc.date.available | 2026-07-07T04:44:25Z | |
| dc.description | We give a topological interpretation of the space of $L^2$-harmonic forms on Manifold with flat ends. It is an answer to an old question of J. Dodziuk. We also give a Chern-Gauss-Bonnet formula for the $L^2$-Euler characteristic of some of these Manifolds. These results are applications of general theorems on complete Riemannian Manifold whose Gauss-Bonnet operator is non-parabolic at infinity. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0111070 | |
| dc.identifier | http://arxiv.org/abs/math/0111070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62580 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58J10; 35J25; 53C21; 58C40 | |
| dc.title | $L^2$ cohomology of Manifolds with flat ends | |
| dc.type | text |