Geometric Analysis Seminar3
Speaker :
Time :
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浙江大学数学科学学院九十周年院庆系列活动之九十
Title：G-Sasaki manifolds and K-energy
Speaker: Yan Li（Peiking University）
Time：Oct. 26（Fri） 10:30-11:30
Location：105, Sir Run Run Shaw Business Administration building
Abstract：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.
Contact person：Feng Wang（wfmath@zju.edu.cn）