报告题目: On Eells-Sampson type theorems for subelliptic harmonic maps
报告时间: 2022-04-28 14:00——2022-04-28 15:00
报告人: 东瑜昕
主办单位: 数据科学与人工智能学院 东北财经大学应用数学研究中心
【主讲人简介】
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。主持国家自然科学基金(面上)在研项目1项,主持完成国家自然科学基金项目8项 (包括国家自然科学基金重点项目1项),在PLMS, BLMS, JGP, JGA, CMP等国内外重要学术期刊上发表了数十篇高水平的学术论文。
【报告摘要】
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.