Further results on the fractional Yamabe problem: the umbilic case
Analysis of PDEs
2015-03-11 v1
Abstract
We prove some existence results for the fractional Yamabe problem in the case that the boundary manifold is umbilic, thus covering some of the cases not considered by Gonzalez and Qing. These are inspired by the work of Coda-Marques on the boundary Yamabe problem but, in addition, a careful understanding of the behavior at infinity for asymptotically hyperbolic metrics is required.
Keywords
Cite
@article{arxiv.1503.02862,
title = {Further results on the fractional Yamabe problem: the umbilic case},
author = {Maria del Mar Gonzalez and Meng Wang},
journal= {arXiv preprint arXiv:1503.02862},
year = {2015}
}