期刊论文

Chen, Q

英文

科学通报(英文版)

2095-9273

1998

43

21

1780-1786

10.1007/BF02883371

本校为第一且通讯机构

Harmonic maps with potential from complete manifolds are considered. This is a new kind of maps more general than the usual harmonic maps relating to many interesting problems such as equilibrium system of ferromagnetic spin chain and Neumann motion. Aiming at the general properties, the author derives basic gradient estimates and then Liouville type results for these maps, which are interesting in constrast to those of the u...

有从完全的 manifolds 的潜力的泛音地图被考虑。这是比关于象铁磁性的旋转链和 Neumann 运动的平衡系统那样的许多有趣的问题的平常的泛音地图更一般的地图的一种新类型。瞄准一般性质，作者导出为这些地图的基本坡度估计然后 Liouville 类型结果，它在到为潜力的存在的平常的泛音地图的那些的 constrast 有趣。