主题：On dbarb-harmonic maps from pseudo-Hermitian manifolds to Kähler manifolds
时间：2026年11月3日 14:00-15:30
地点：15号楼518室
主持人：种田副教授
报告人简介：东瑜昕，复旦大学数学科学学院教授，博士生导师，主要研究领域为整体微分几何、复几何与CR几何。1990年在杭州大学获得博士学位，师从著名数学家白正国教授与沈一兵教授；1990-2000年在杭州大学（1998年与浙江大学合并）数学系任教，2000年至今在复旦大学数学学院任教。主持多项国家自然科学基金项目，在 Proc. Lond. Math. Soc., Nonlinear Anal., J. Geom. Anal. ,J. Geom. Phys., Math.Z., Comm.Math.Phys.等一流数学期刊发表60余篇高水平学术研究论文。
讲座简介：
In this talk, we consider maps from pseudo-Hermitian manifolds to Kähler manifolds and introduces partial energy functionals for these maps. First, we obtain a foliated Lichnerowicz type result on general pseudo-Hermitian manifolds, which generalizes a related result on Sasakian manifolds by Shen-Shen-Zhang (2013). Next, we investigate critical maps of the partial energy functionals, which are referred to as dbarb-harmonic maps and db-harmonic maps. We give a foliated result for both dbarb-harmonic maps and db-harmonic map, generalizing a foliated result of Petit (2002) for harmonic maps. Then we are able to generalize Siu’s holomorphicity result for harmonic maps by Siu(1980) to the case for dbarb-harmonic maps and db-harmonic map. This is a joint work with Hui Liu and Biqiang Zhao.
