论文标题
Yamabe奇异指标通过降低
Singular Yamabe metrics by equivariant reduction
论文作者
论文摘要
我们使用在模棱两可的环境中减少问题的Yamabe方程构建单数解决方案。这提供了一个非平凡的几何示例，该示例的分析比Mazzeo-Pacard程序更简单。我们的构造还提供了一个弱解决Yamabe问题的薄弱解决方案的例子，该解决方案涉及具有（平滑）系数的方程式。
We construct singular solutions to the Yamabe equation using a reduction of the problem in an equivariant setting. This provides a non-trivial geometric example for which the analysis is simpler than in Mazzeo-Pacard program. Our construction provides also a non-trivial example of a weak solution to the Yamabe problem involving an equation with (smooth) coefficients.
