-

Liouville type theorem for harmonic maps of controlled growth

组织者

河井公大朗 , 钱超

演讲者

Keita Kunikawa

时间

2023年05月24日 15:20 至 16:20

地点

A3-1-103

线上

Zoom 928 682 9093 (BIMSA)

摘要

We show a Liouville type result for harmonic maps from a manifold with nonnegative Ricci curvature into positively curved target under the condition that the maps have some growth condition. Our result can be interpreted as an improved version of Choi's classical work. Moreover, Schoen-Uhlenbeck's example shows that our growth condition is almost sharp. The proof relies on Ecker-Huisken's curvature estimate for minimal hypersurfaces. This talk is based on a joint work with Yohei Sakurai.