Metrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian
Differential Geometry
2018-11-14 v4 Spectral Theory
Abstract
In this paper, we settle in the affirmative the Jakobson-Levitin-Nadirashvili-Nigam-Polterovich conjecture, stating that a certain singular metric on the Bolza surface, with area normalized, should maximize the first eigenvalue of the Laplacian.
Keywords
Cite
@article{arxiv.1704.06384,
title = {Metrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian},
author = {Shin Nayatani and Toshihiro Shoda},
journal= {arXiv preprint arXiv:1704.06384},
year = {2018}
}
Comments
21 pages, 3 figures