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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61019We 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.Differential GeometrySpectral Theory58G25; 35P20Tracking eigenvalues to the frontier of moduli space I: Convergence and spectral accumulationtext