Extremal metrics for Laplace eigenvalues in perturbed conformal classes on products
Differential Geometry
2019-09-09 v2 Analysis of PDEs
Abstract
In this short note, we prove that conformal classes which are small perturbations of a product conformal class on a product with a standard sphere admit a metric extremal for some Laplace eigenvalue. As part of the arguments we obtain perturbed harmonic maps with constant density.
Cite
@article{arxiv.1701.02157,
title = {Extremal metrics for Laplace eigenvalues in perturbed conformal classes on products},
author = {Henrik Matthiesen},
journal= {arXiv preprint arXiv:1701.02157},
year = {2019}
}
Comments
13 pages, contains first part of results, that have previously been contained in arXiv:1608.06829