The sharp type Chern-Gauss-Bonnet integral and asymptotic behavior
Differential Geometry
2023-06-13 v3 Analysis of PDEs
Abstract
In this paper, we propose a sharp and quantitative criterion, which focuses solely on 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 curvature equation.
Keywords
Cite
@article{arxiv.2205.10817,
title = {The sharp type Chern-Gauss-Bonnet integral and asymptotic behavior},
author = {Shihong Zhang},
journal= {arXiv preprint arXiv:2205.10817},
year = {2023}
}
Comments
We remove the nonnegative assumption of Q curvature in the main Theorem and fix some typos. 25 pages