Minoration conforme du spectre du laplacien de Hodge-de Rham
| dc.creator | Jammes, Pierre | |
| dc.date | 2006-04-27 | |
| dc.date.accessioned | 2026-07-07T08:07:45Z | |
| dc.date.available | 2026-07-07T08:07:45Z | |
| dc.description | Let $M^n$ be a n-dimensional compact manifold, with $n\geq3$. For any conformal class C of riemannian metrics on M, we set $μ_k^c(M,C)=\inf_{g\in C}μ_{[\frac n2],k}(M,g)\Vol(M,g)^{\frac2n}$, where $μ_{p,k}(M,g)$ is the k-th eigenvalue of the Hodge laplacian acting on coexact p-forms. We prove that $0<μ_k^c(M,C)\leqμ_k^c(S^n,[g_{can}])\leq k^{\frac2n}μ_1^c(S^n,[g_{can}])$. | |
| dc.description | 11 pages, 2 figures, in french | |
| dc.identifier | https://arxiv.org/abs/math/0604591 | |
| dc.identifier | http://arxiv.org/abs/math/0604591 | |
| dc.identifier | manuscripta math, 123 (1), p. 15-23, 2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131035 | |
| dc.subject | Differential Geometry | |
| dc.subject | Spectral Theory | |
| dc.subject | 35P15, 58J50 | |
| dc.title | Minoration conforme du spectre du laplacien de Hodge-de Rham | |
| dc.type | text |