AbstractWe 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...
Abstract：By introducing a concept generalising several convexity notions we obtain a new Omori-Yaumaximum principle for harmonic maps defined on a stochastically complete manifold. Some of theapplications of this new maximum principle include conformal harmonic maps. an adaptation of aconiecture of Calabi, harmonic immersions with certain energy bounds, wedge theorems forminimal submanifolds o...
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