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arXiv:math/0102219 [math.DG]AbstractReferencesReviewsResources

Tracking eigenvalues to the frontier of moduli space I: Convergence and spectral accumulation

Chris Judge

Published 2001-02-28, updated 2001-05-23Version 2

We study the limiting behavior of eigenfunctions/eigenvalues of the Laplacian of a family of Riemannian metrics that degenerates on a hypersurface. Our results generalize earlier work concerning the degeneration of hyperbolic surfaces.

Categories: math.DG, math.SP
Subjects: 58G25, 35P20
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