Geometry and Topology Seminar: Kendall-type theorem for generalized harmonic maps
21 November 2013 13:00 in CM221
This is a joint work with Bobo Hua and Chao Xia. After introducing the definition of generalized harmonic maps from weighted Riemannian manifolds into
Hadamard spaces in the sense of Korvaar-Schoen, I will explain a Kendall type theorem (reducing validity of Liouville
theorem of harmonic maps to that of harmonic functions) based on a lemma of Jost and method of Li-Wang. Finally, I will explain that this is a key ingredient for the scheme of proving Liouville type theorems for harmonic maps with finite energy without using Bochner techniques (which is typically not available in a general setting).