Abstract
We study here the convergence of eigenvalues and eigenforms of the Laplace operator Δ = ( dδ + δ 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 (dim( M) − 1) where new harmonic forms and one small eigenvalue appear on the perturbed manifold.
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