Maximization of the second conformal eigenvalue of spheres
Spectral Theory
2012-06-04 v1 Differential Geometry
Abstract
We establish in this paper an upper bound on the second eigenvalue of n-dimensional spheres in the conformal class of the round sphere. This upper bound holds in all dimensions and is asymptotically sharp as the dimension increases.
Keywords
Cite
@article{arxiv.1206.0229,
title = {Maximization of the second conformal eigenvalue of spheres},
author = {Romain Petrides},
journal= {arXiv preprint arXiv:1206.0229},
year = {2012}
}