Involutions Fixing The Disjoint Union Of Dold Manifolds

Let(M,T)be a smooth closed manifold with a smooth involution Twhose fixed point set is F={x|T(x)=x,x∈M},then F is the disjoint union ofsmooth closed submaniflod of M．In this paper,we discuss:(1) For F=P(2m,2l+1)(?)P(2m,2n+1),n>l≥m,m≠1,3,them(M,T)isbounded．(2) For F=P(2^m,2^m)(?)P(2^m,2^m+1),m≥3,the all bordism classes of(M,T)are decided．...