不动点集为RP(1)×HP(n)的对合流形

Involutions fixing the product space RP(1)×HP(n)

令 (M ,T)是一个带对合的光滑闭流形 ,不动点集为F ,本文的主要结果是决定了F =RP(1 )×HP(n)的对合的协边分类 .

Let(M,T)be an involution on a closed manifold,and let Fdenote the fixed point set of (M,T)This paper determines the bordism classes of those involutions with fixed point set F=RP(1)×HP(n),HP(n) denote the n-dimensional quaternionic projective space.