“数理讲堂”2023年第48期:ON EELLS-SAMPSON TYPE THEOREMS FOR SUBELLIPTIC HARMONIC MAPS

发布时间:2023-11-24 供稿:数理与统计学院 分享至:

主题:ON EELLS-SAMPSON TYPE THEOREMS FOR SUBELLIPTIC HARMONIC MAPS

时间:1127日 14:00

地点:腾讯会议:821-671-714

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。曾获教育部跨世纪人才基金。 已主持完成国家自然科学基金项目 8 项 (包括重点项目1项),现主持国家自然科学基金在研项目1 项,在 PLMS, BLMS, MZ, JGA, CMP 等国内外学术期刊上发表了数十篇学术论文。

讲座简介:

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.


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