On Eells-Sampson type theorems for subellipitic harmonic maps
报告人: 东瑜昕
讲座日期:2021-07-05
讲座时间:09:00
报告地点:腾讯会议(ID:935 103 616)
讲座内容简介:
In this talk, we discuss critical maps of a horizontal energy functional for maps from a sub-Riemannian manifold to a Riemannian manifold. These critical maps are referred to as subelliptic harmonic maps. In terms of the subelliptic harmonic map heat flow, we investigate the existence problem for subelliptic harmonic maps. Under the assumption that the target Riemannian manifold has non-positive sectional curvature, we are able to establish some Eells-Sampson type existence results, and also some Hartman type results for the flow.
讲座人简介:
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年在浙江大学获得博士学位,导师为著名数学家白正国教授与沈一兵教授;1990-2000年在浙江大学数学系任教,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PLMS, JGP, JGA, CMP等一流数学期刊发表40余篇高水平学术研究论文。