设(M,T)是一个带有光滑对合T的光滑闭流形,T的不动点集为RP(8)∪P(8,2n-1).本文证明了(M,T)必协边于(RP(8)×RP(8),twist)和(P(8,RP(2n)),T′)之一.
Let (M, T) be a smooth closed maniflod with a smooth involution T whose fixed point set is RP(8) ∪ P(8, 2n - 1). The authors prove that (M, T) is bordant to one of the involutions (RP(8) × RP(8), twist) and (P(8, RP(2n)), T′).