Harmonic maps with potential from complete manifolds  

作　　者：CHEN Qun Mathematics Department, Central China Normal University, Wuhan 430079, China Institute of Mathematics, Fudan University, Shanghai 200433, China 

出　　处：《Chinese Science Bulletin》1998年第21期1780-1786,共7页

摘　　要：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 usual harmonic maps for the presence of potentials.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 usual harmonic maps for the presence of potentials.

关 键 词：HARMONIC MAPS POTENTIAL FERROMAGNETIC CHAIN gradient estimate. 

分 类 号：O174[理学—数学]