Spectrum of compact manifolds with high genus
Spectral Theory
2007-05-23 v1 Differential Geometry
Abstract
In this paper we study the behavior of the spectrum of a compact, connected Riemannian manifold of dimension , when we add an increasing number of increasingly small handles. No assumptions on any of the curvatures are needed.
Cite
@article{arxiv.math/9804094,
title = {Spectrum of compact manifolds with high genus},
author = {Lino Notarantonio},
journal= {arXiv preprint arXiv:math/9804094},
year = {2007}
}
Comments
33 pages. Submitted to Israel J. Math