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Minoration conforme du spectre du laplacien de Hodge-de Rham | | Pierre Jammes
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27 Apr 2006 | | Subject: | Differential Geometry; Spectral Theory | | Abstract: | Let $M^n$ be a n-dimensional compact manifold, with $ngeq3$. For any conformal class C of riemannian metrics on M, we set $mu_k^c(M,C)=inf_{gin C}mu_{[frac n2],k}(M,g)Vol(M,g)^{frac2n}$, where $mu_{p,k}(M,g)$ is the k-th eigenvalue of the Hodge laplacian acting on coexact p-forms. We prove that $0<mu_k^c(M,C)leqmu_k^c(S^n,[g_{can}])leq k^{frac2n}mu_1^c(S^n,[g_{can}])$. | | Source: | arXiv, math/0604591 | | Services: | Forum | Review | PDF | Favorites | |
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