中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：李明翔 博士（南京大学）
题 目：On the positivity of the Q-curvatures of the conformal metrics
时 间：2024.03.12（星期二）10:00-11:00
地 点：思源楼S415
摘 要：In this talk, we will consider a conformal metric $g=u^{\frac{4}{n-2m}}|dx|^2$ on $\mathbb{R}^n$ with $n\geq 2m+1$. We show that if the higher order Q-curvature $Q^{(2m)}_g$ is positive with slow decay near infinity, the lower order Q-curvature $Q^{(2)}_g$ and $Q^{(4)}_g$ are both positive if $m$ is at least two. This talk is based on a joint work with Xingwang Xu.