Tracking eigenvalues to the frontier of moduli space I: Convergence and spectral accumulation
classification
🧮 math.DG
math.SP
keywords
eigenvaluesaccumulationbehaviorconcerningconvergencedegeneratesdegenerationearlier
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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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