Existence of metrics maximizing the first eigenvalue on non-orientable surfaces
Differential Geometry
2019-09-09 v3 Analysis of PDEs
Spectral Theory
Abstract
We prove the existence of metrics maximizing the first eigenvalue normalized by area on closed, non-orientable surfaces assuming two spectral gap conditions. These spectral gap conditions are proved by the authors in \cite{MS3}.
Cite
@article{arxiv.1703.01264,
title = {Existence of metrics maximizing the first eigenvalue on non-orientable surfaces},
author = {Henrik Matthiesen and Anna Siffert},
journal= {arXiv preprint arXiv:1703.01264},
year = {2019}
}
Comments
v3: change in title; 14 pages, contains only first part of the previous versions now. All comments very welcome