不动点集为P(6,2n+1)的对合

Involutions with Fixed Point Set P(6,2n+1)

设(M,T)是一个带有光滑对合T的光滑闭流形,T在M上的不动点集为F={x|T(x)=x,x∈M},则F为M的闭子流形的不交并.证明了:当F=P(6,2n+1)(n为奇数)时,(M,T)协边于0.

Let （M, T） be a smooth closed manifold with a smooth involution T. fixed point set F--{xlT（x）--x, x E M} of T is the disjoint union of smooth closed this paper, we show that （M,T） is bounded,privided F=P（6,2n＋1）,n odd. It is known that the submanifold of M. In