✦ LIBER ✦
Hodge-Laplace Operator on Compact Manifolds from Which a Finite Number of Balls Is Omitted
✍ Scribed by C. Anne; B. Colbois
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 705 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
We study here the convergence of eigenvalues and eigenforms of the Laplace operator (A=(d \delta+\delta d)) acting on differential forms in the perturbation obtained by omitting a finite number of little balls on a compact Riemannian manifold (M). We restrict ourselves to absolute boundary conditions by duality and show the convergence except at degree ((\operatorname{dim}(M)-1)) where new harmonic forms and one small eigenvalue appear on the perturbed manifold. 1993 Academic Press, Inc.