Small eigenvalues of pseudo-Laplacians
Differential Geometry
2025-12-23 v1 Spectral Theory
Abstract
We extend the Otal-Rosas bound on the number of small eigenvalues of the Laplacian on a hyperbolic surface to the small eigenvalues of pseudo-Laplacians. In the process, we extend the work of Colin de Verdi\`ere on the spectral theory of pseudo-Laplacians to hyperbolic surfaces with more than one cusp.
Cite
@article{arxiv.2512.19248,
title = {Small eigenvalues of pseudo-Laplacians},
author = {Werner Ballmann and Sugata Mondal and Panagiotis Polymerakis},
journal= {arXiv preprint arXiv:2512.19248},
year = {2025}
}
Comments
21 pages