Involutions With Fixed Point Set CP(4)×HP(2n+1)

Classification of manifolds is a basic problem of topology. Since Thom introduced the bordism relation in 1954, a lot of research has been done on the bordism classification of manifolds. Let ?? be a finite group and ????a closed smooth unoriented ??-manifold.(??, ????) is a smooth action of ?? on a closed unoriented n-manifold ????. When ?? = ??2, it is called an involution. The paper discusses the bordism classification of manifolds with involution fixing ????(4) × ????(2?? + 1) and proves that every involution fixing ????(4) ×????(2?? + 1) bounds.