11-27【王志鑫】Neumann Data and Second Variation Formula of Renormalized Area for Conformally Compact Static Spaces

发布时间:2025-11-04来源:几何与物理研究中心中文网页浏览次数:10

报告人:王志鑫上海交通大学

时间:2025年11月27日14:30-15:30  

地点:上海研究院新园区1号楼A座1329&腾讯会议:942 663 0176,会议密码:202501


  

In this paper, we derive the first and second variation formulas for the renormalized area for static Einstein spaces along a specific direction for $n=3$, demonstrating that the negativity of the Neumann data implies instability. Consequently, we obtain a rigidity result for the case when the conformal boundary is a warped product torus, which strengthens a previous result. The rigidity result can be generalized to $n\leq 7$.


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