报告题目：John-Nirenberg Inequality and Collapse in Conformal Geometry

报告人：  李宇翔 （教授）  清华大学

报告时间：2017.11.17     14:00-15:00

报告地点：知新楼B924

摘要: Let $g$ be a metric over $B$, and $g_k=u_k^\frac{4}{n-2}g$. We assume $\|R(g_k)\|_{L^p}\frac{n}{2}$. We will use John-Nirenberg inequality to prove that if $vol(B,g_k)\rightarrow 0$, then there exists $c_k\rightarrow +\infty$, such that $c_ku_k$ converges to a positive function weakly in $W^{2,p}_{loc}(B)$. As an application, we will study the bubble tree convergence of a conformal metric sequence with integral-bounded scalar curvature.