带位势的弱<i>Φ</i><sub>(3)</sub>-调和映射的刘维尔型定理

带位势的弱Φ₍₃₎-调和映射的刘维尔型定理

摘要: 引入广义的能量泛函E_Φ(3)，H，并引入带位势H的弱Φ₍₃₎-调和映照的定义。利用应力-能量张量方法，在位势H若干条件及出发流形的曲率条件下，得到带位势H的弱Φ₍₃₎-调和映射的一些刘维尔型结果。

Abstract: A generalized functional E_{Φ(3), H} was mainly introduced, and a definition of weakly Φ₍₃₎-harmonic map with potential H was given with respect to the generalized functional. By using the stress-energy tensor, some Liouville type results for these maps were obtained under conditions on H and the curvature conditions of the domain manifold.