不动点集为RP(1)×CP(N)的带有对合的流形

MANIFOLD WITH INVOLUTION WHOSEFIXED POINT SET IS RP(1)×CP(N)

令 (M,T)是一个在光滑闭流形上的光滑对合 ,它的不动点集为 F ,本文确定了 F=RP(1 )× CP(N )

Let (M,T) be an involution on a closed manifold,and let F denote the fixed point set of (M,T) .This paper determines the bordism classes of those involutions with fixed point set F=RP(1)×CP(N) .