Liouville theorems for harmonic maps
نویسنده
چکیده
Recently there has been much interest in the Liouville type theorems for harmonic maps. For a detailed survey and progress in this direction, see the works by Hildebrandt [4], Eells and Lemaire [2]. Here we would like to mention that for all known results, the conditions on the harmonic maps can be divided into two kinds. The first of these conditions concerns the finiteness of the energy of the map. In this direction, a result of Schoen and Yau [10] shows that a harmonic map with
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