Convex hull properties and Liouville theorems for harmonic maps into metric spaces
来源:
|
发布时间:2026-09-15
报告时间:
2026年9月24日上午10:00-11:00
报告地点:
六号楼C203
报告人:
陈群
报告人单位:
武汉大学
邀请人:
刘磊
摘要:
In this talk, we will discuss image structures of harmonic maps from Riemannian manifolds into metric spaces of curvature bounded above in the sense of Alexandrov. When the target spaces are of nonpositive curvature and the domain manifolds have some analytic structures, we present convex hull properties satisfied by the image sets of harmonic maps. When the target space $N$ is CAT(k) for positive constants $k$, we will will introduce Liouville theorems for harmonic maps into $B_R(y_0) \subset N$ for $R