题目：On some existence results of generalized Maxwell-Einstein metrics on type III compact K\"ahler manifolds

报告人：陈晶（河南大学）      

摘要：LeBrun, in his study of Einstein-Maxwell equations on compact Riemannian four manifolds, introduced a concept of Einstein-Maxwell metrics. It turns out that under the condition being strongly Hermitian, his definition and its generalization to the higher dimension is equivalent to what Professor Daniel Guan found 20 years earlier. A. Futaki and H. Ono discuss the existence of Einstein-Maxwell metrics in three recent papers and gives the concept of generalized Einstein-Maxwell metrics. In Professor Daniel Guan’s recent paper, he proved that there is at least one Maxwell-Einstein metric in any  class of compact almost homogeneous complex manifolds with two ends, which has LeBrun’s result as special cases. Therefore, in this talk we first explain Professor Guan’s result and proved that on certain CP^1 bundles there is at least one Futaki-Ono k generalized Maxwell-Einstein metric conformally related to a metric in any given  class for any k≥ 2. Furthermore, when one end contracts, we give the existence for the Futaki-Ono k generalized Maxwell-Einstein metrics on the completions of certain  bundle . This is a joint work with Professor D. Guan.        

报告时间：2024年09月27日上午10:30-11:30

报告地点：教二楼612

联系人：张利友