Homotopy Exponents of Stiefel Manifolds in the Stable Range  

作　　者：Hao ZHAO Li Nan ZHONG Wen Huai SHEN 

机构地区：[1]School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China [2]Department of Mathematics, Yanbian University, Yanji 133000, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2016年第9期1080-1088,共9页数学学报（英文版）

基　　金：Supported by the NSFC(Grant No.11261062);the Special Financial Grant form the China Postdoctoral Science Foundation(Grant No.2015T80909);Research Fund for the Doctoral Program of Higher Education of China(Grant No.20134407110001)

摘　　要：Let p be an odd prime. For the Stiefel manifold Wm＋k,k = SU（m ＋ k）/SU（m）, we obtain an upper bound of its p-primary homotopy exponent in the stable range k ≤ m with k ≤ （p - 1）2 ＋ 1.Let p be an odd prime. For the Stiefel manifold Wm＋k,k = SU（m ＋ k）/SU（m）, we obtain an upper bound of its p-primary homotopy exponent in the stable range k ≤ m with k ≤ （p - 1）2 ＋ 1.

关 键 词：Stiefel manifold homotopy exponent H-SPACE 

分 类 号：O177[理学—数学]