期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
The Closed Manifold with{p}∪F4m+2 Being the Fixed Point Set of a Smooth Involution
摘要/Abstract
摘要：
设 (Mn,T)是n维光滑闭流形Mn 上以 {p} ∪F4m+2 为不动点集的对合,其中F4m+2
CP(2m+1),确定了流形Mn 的维数并给出 (Mn,T)的等价协边类,即 [Mn,T]2 =[CP(2m +2),τ0 ]2,且n=4m +4.
Abstract：
Suppose (Mn,T) is a differientiable involution on an n-dimensional closed manifold Mnwith the fixed point set of T being the disjoint union of a point and a fixed connect (4m+2)-dimensional manifold,that is {p}∪F4m+2,where F4m+2 satisfies F4m+2CP(2m+1).The dimension of Mnis determinecl and the the equivariant bordism class of(Mn,T) is given,i.e,n=4m+4 and 2=[CP(2m+2),τ0] 2.