Cobordism And Fiber Bundle

Suppose Mn and Nm are closed smooth manifolds, p : Mn→Nm is the projection of fiber bundle . This paper studies the problem of finding which cobordism classes are represented by the total space of a fibering with prescribed base space Nm=RP(2) ×RP(2) ×RP(2) and determines the largest values of m for which there is an indecomposable Mn(n = 19, 21) fibered over the real projective space RP(m).