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【几何与代数基础科学研究中心】Five dimensional gradient shrinking Ricci soliton with constant scalar curvature
李凤江 副教授(重庆理工大学)
1月2日周四下午2: 00-3:00 闵行校区数学楼401
主持人:郑宇
报告人简介:李凤江,博士毕业于华东师范大学数学系,现于重庆理工大学数学科学研究所任副教授。主要研究内容包括Einstein 度量及Hamilton Ricci 流的Ricci soliton分类等相关几何分析问题。
报告摘要: In this talk, we will talk about the rigidity of five dimensional gradient shrinking Ricci soliton with constant scalar curvature. We prove that if 5-dimensional complete shrinking gradient Ricci soliton $(M, g, f)$ has constant scalar curvature $\frac{3}{2}$, it will be a finite quotient of $\mathbb{R}^2\times \mathbb{S}^3$.This work is joint with Prof. Guoqiang Wu , Jianyu Ou and Yuanyuan Qu.