Isolated singularities of solutions to the Yamabe equation in dimension 66

preprint2020arXivOpen access

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 66, 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.

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