| 学 术 报 告 |
| 报告题目 | Closed vacuum static spaces with closed conformal vector fields |
| 报告时间 | 2025/10/13 9:00 |
| 报告地点 | 闵行校区数学楼102报告厅 |
| 主讲人 | 叶 剑 副教授（中国科学院数学与系统科学研究院） |
| 主持人 | 张德凯 副教授 |
| 报告简介 | In this talk, we introduce closed vacuum static spaces with a non-Killing closed conformal vector field. We firstly provide several characterizations of the conditions under which the first derivative of the warping function fufills the vacuum static equation. Then we establish an identity involving the characteristic function of a conformal vector field on a Riemannian manifold. As applications, we derive a rigidity theorem on closed Riemannian manifold with a non-Killing closed conformal vector field under suitable conditions and classify closed vacuum static spaces and related critical spaces that admit such a vector field. |
| 主讲人简介 | 叶剑，2018年博士毕业于中国科学技术大学和图卢兹第三大学。2019年到2022年在南京大学数学系从事博士后研究，2022年入职中国科学院数学与系统科学研究院并工作至今。主要研究方向为非线性偏微分方程和几何分析。部分成果发表在：JGA, Math, Ann. 等著名杂志上。 |
