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几何分析讨论班第三次

编辑:wfy 时间:2018年10月22日 访问次数:986

浙江大学数学科学学院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)