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arXiv · 2205.10817

The sharp type Chern-Gauss-Bonnet integral and asymptotic behavior

Shihong Zhang
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Abstract

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.

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Shihong Zhang. 2022-05-22. The sharp type Chern-Gauss-Bonnet integral and asymptotic behavior. https://arxiv.org/abs/2205.10817

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