Tracking eigenvalues to the frontier of moduli space I: Convergence and spectral accumulation
Differential Geometry
2007-05-23 v2 Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0102219,
title = {Tracking eigenvalues to the frontier of moduli space I: Convergence and spectral accumulation},
author = {Chris Judge},
journal= {arXiv preprint arXiv:math/0102219},
year = {2007}
}