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
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.