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The generalized harmonic maps and its related problems
2018-10-23 15:40:54

In this talk, we shall introduce the problems of the generalized harmonic maps from both analytic and geometric aspects. Concretely, we give existence theorems for V-harmonic maps from complete manifolds into regular balls and the corresponding heat flows. On the other hand, we also consider some geometric applications such as rigidity theorems for self-shrinkers and translating solitons as their Gauss maps are some V-harmonic maps.