Hopf纤维上的次椭圆调和映射  

Subelliptic Harmonic Maps Based on the Hopf-Fibration

作　　者：张露萍[1] 陈文艺[2] 

机构地区：[1]江西蓝天学院复杂生命动力研究所,江西南昌330098 [2]武汉大学数学与统计学院,湖北武汉430072

出　　处：《湖北民族学院学报（自然科学版）》2007年第4期369-371,共3页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：国家自然科学基金面上项目(10471108)

摘　　要：研究了由Hopf纤维诱导的次椭圆调和映射,在Hopf同伦不变量的条件下有关次椭圆调和映射存在性定理.该定理说明次椭圆调和映射有与调和映射相似的性质,而且椭圆调和映射条件显然比调和映射要弱.On the condition of harmonic Map, we have got good conclusions. The issue people have always been concerned is whether the condition can be weakened or relaxed to enable us to get better conclusions. We study harmonic maps of the subelliptic type which is induced by Hopf - Fibration. In the content of Hopf equivariant maps, we get the existence of subelliptic harmonic maps. We show that subelliptic harmonic maps have similar properties with harmonic maps, while the subelliptic harmonic maps is a weaker condition. The results in this article will help us to get more results on existence and nonexistence of subelliptic harmonic maps.

关 键 词：次椭圆 调和映射 Hopf不变量 

分 类 号：O18[理学—数学]