主题:Pseudoharmonic maps from pseudo-Hermitian manifolds 时间:2023年8月2日 15:00-16:30 地点:腾讯会议:484-974-128 主持人:种田 副教授 报告人简介: 杨桂林,2013年博士毕业于复旦大学,2013-2018年在华中科技大学工作,2016-2018年在意大利跟CR几何专家Sorin Dragomir做博士后, 2020年9月起在上海立信会计金融学院工作。已在Nagoya Math. J., Calculus of Variation and PDE, Science China Math.等杂志上发表多篇论文。主要研究方向是调和映照、几何分析、CR几何、次黎曼几何等。 讲座简介: In this talk, we investigate pseudoharmonic maps from the pseudo-Hermitian manifolds. We first give the CR Bochner type result for pseudoharmonic maps. Then some foliated results, pluriharmonicity and Siu-Sampson type results are established for pseudoharmonic maps. Finally, we use the heat flow method to prove the existence of pseudoharmonic maps from closed pseudo-Hermitian manifolds. It is a generalization of Eells-Sampson’s existence theorem. We also get the Hartman’s type theorem.