Extremal metrics for Laplace eigenvalues in perturbed conformal classes on products
arXiv:1701.02157
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.
13 pages, contains first part of results, that have previously been contained in arXiv:1608.06829