论文标题
尖锐的Chern-Gauss-Bonnet积分和渐近行为
The sharp type Chern-Gauss-Bonnet integral and asymptotic behavior
论文作者
论文摘要
在本文中,我们提出了一个鲜明而定量的标准,该标准仅着眼于$ Q $曲率,以展示Chern-Gauss-Bonnet的积分。与先前的结果相反[4,5,10],我们使用了一种涉及估计单数积分的新方法。此外,我们得出了解决一般$ q $曲率方程的解决方案的渐近公式。
In this paper, we propose a sharp and quantitative criterion, which focuses solely on $Q$ curvature, to demonstrate the Chern-Gauss-Bonnet integral. In contrast to the previous results [4,5,10], we use a new approach that involves estimating the singular integral. Furthermore, we derive the asymptotic formula for the solution to the general $Q$ curvature equation.