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黑料吃瓜网，2022年入职中国科黑料吃瓜网
数学与系统科学黑料吃瓜网院并工作至今。主要黑料吃瓜网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。
