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Details for article 2 of 6 found articles
| Title: |
Fonctions Properes Sur Des Varietes Avec Des Anses Fines, Applcation A La Multiplicite |
| Author: |
Anne, Par Colette |
| Appeared in: |
Communications in partial differential equations |
| Paging: | Volume 15 (1990) nr. 11 pages 1617-1630 |
| Year: |
1990 |
| Contents: |
We present here some results on the behaviour of the eigenfunctions of the Laplace operator under a singular perturbation obtained by adding a thin handle to a compact manidold X1 it follows the work [A] where the convergence of the spectrum was probed. We restrict ourselves to the dimension 2, and the can show a result concerning inverasing multiplcity (theorem 2) : if is a eingenvalue of X1, with multiplicity m, which is assumed to be stable (the SAH notion introduced by Colin de Verdie in [CdV]), and if we denot by E0 the Corresponding eigenspace then for any pari (p, q) of points on X1 for which one of these two linear forms vanishes identically on E0 we can attach a thin handle to X1 on connecting p and q so that the resulting manifold has as an eigenvalue with multiplicity (m + 1), for a family of metrics to the original one X1 |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 2 of 6 found articles
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