Isolated singularities of solutions to the Yamabe equation in dimension $6$
Analysis of PDEs
2020-07-03 v2 Differential Geometry
Abstract
We study the asymptotic behavior of local solutions to the Yamabe equation near an isolated singularity, when the metric is not conformally flat. We prove that, in dimension , any solution is asymptotically close to a Fowler solution, which is an extension of the same result for lower dimensions by F.C. Marques in 2008.
Keywords
Cite
@article{arxiv.2006.13279,
title = {Isolated singularities of solutions to the Yamabe equation in dimension $6$},
author = {Jingang Xiong and Lei Zhang},
journal= {arXiv preprint arXiv:2006.13279},
year = {2020}
}
Comments
20 pages