ON HARMONIC REPRESENTATIVE OF Π_(2m+1)(S^(2m+1))  

作　　者：忻元龙 

机构地区：[1]Institute of Mathematics, Fudan University, Shanghai 200433, PRC

出　　处：《Chinese Science Bulletin》1992年第13期1138-1139,共2页

基　　金：Project supported partially by the National Natural Science Foundation of China and by the Science Foundation of Educational Committee of China.

摘　　要：By joining two harmonic homogeneous polynomial maps, Smith proved that every element of homotopy group Π_m（S^m） has a harmonic representative for m≤7.Now we have proved the following main result. Every element of odd degree of homotopy group Π_2m+1 (S^2m+1) has a harmonic representative.Let us consider a function on C^m+1, due to Nomizu.

关 键 词：REPRESENTATIVE HARMONIC joining POLYNOMIAL elsewhere stated SPHERES 二华 MANIFOLD LETTER 

分 类 号：N[自然科学总论]