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Convex hull properties and Liouville theorems for harmonic maps into metric spaces

发布时间:2026-09-15 作者: 浏览次数:
Speaker: 陈群 DateTime: 2026年9月24日(周四)上午10:00-11:00
Brief Introduction to Speaker:

陈群,武汉大学

Place: 六号楼C203
Abstract: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