太阳成集团tyc411(中国)有限公司-百度百科九十周年院庆系列活动之九十

题目：G-Sasaki manifolds and K-energy

报告人: 郦言（北京大学）

时间：10月26日（周五） 10:30-11:30
地点：工商楼105室

摘要：In this talk, I will introduce a class of Sasaki manifolds with a reductive group (G) action, called G-Sasaki manifolds. By reducing K-energy to a functional defined on a class of convex functions on a moment polytope, we give a criterion for the properness of K-energy. In particular, we deduce a sufficient and necessary condition related to the polytope for the existence of transverse G-Sasaki Einstein metrics. A similar result is also obtained for transverse G-Sasaki Ricci solitons. As an application, we construct several examples of G-Sasaki Ricci solitons by an established openness theorem for transverse G-Sasaki Ricci solitons. This is a joint work with Prof. Xiaohua Zhu.

联系人：王枫老师（wfmath@zju.edu.cn）