论文标题

Yamabe方程的孤立奇异性在尺寸$ 6 $

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

论文作者

Xiong, Jingang, Zhang, Lei

论文摘要

我们研究了隔离奇异性附近Yamabe方程的局部解决方案的渐近行为,当时度量不是共同平坦的。我们证明,在尺寸$ 6 $中,任何解决方案均渐近接近Fowler解决方案,这是F.C较低维度的相同结果的扩展。 Marques于2008年。

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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