Two Commuting Involutions Fixing RP_(1)(2m+1)∪RP_(2)(2m+1)  

作　　者：Suqian ZHAO Yanying WANG Jingyan LI 

机构地区：[1]School of Sciences,Hebei University of Science and Technology,Shijiazhuang 050018,China [2]School of Mathematical Sciences,Hebei Normal University,Shijiazhuang 050024,China

出　　处：《Chinese Annals of Mathematics,Series B》2021年第5期737-752,共16页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11771116)。

摘　　要：Let Z2 denote a cyclic group of 2 order and Z_(2)^(2)=Z_(2)×Z_(2)the direct product of groups.Suppose that(M,Φ)is a closed and smooth manifold M with a smooth Z_(2)^(2)-action whose fixed point set is the disjoint union of two real projective spaces with the same dimension.In this paper,the authors give a sufficient condition on the fixed data of the action for(M,Φ)bounding equivariantly.

关 键 词：Z_(2)^(2)-action Fixed data Characteristic number Simultaneous bordism Stiefel-Whitney class 

分 类 号：O186.1[理学—数学]