Small eigenvalues of surfaces
Differential Geometry
2017-03-08 v1
Abstract
We show that the Laplacian of a Riemannian metric on a closed surface S with Euler characteristic \chi(S) < 0 has at most -\chi(S) small eigenvalues.
Cite
@article{arxiv.1406.5836,
title = {Small eigenvalues of surfaces},
author = {Werner Ballmann and Henrik Matthiesen and Sugata Mondal},
journal= {arXiv preprint arXiv:1406.5836},
year = {2017}
}
Comments
10 pages