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

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

2001-02-28

arxiv.org/abs/math/0102219v2

Mathematics

Differential Geometry

Scientific paper

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.

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