broadcast in Room 515, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館515教室直播/收播)
Liouville Type Theorem for Harmonic Maps of Controlled Growth
Keita Kunikawa (Tokushima University)
Abstract
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.
Meeting number (access code): 2510 976 3195
Meeting password: UpDZjQ8TU23