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arXiv · 2006.13279

Isolated singularities of solutions to the Yamabe equation in dimension $6$

Jingang Xiong·Lei Zhang
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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 $6$, 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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Jingang Xiong, Lei Zhang. 2020-06-23. Isolated singularities of solutions to the Yamabe equation in dimension $6$. https://arxiv.org/abs/2006.13279

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