Abstract
We characterize the Lefschetz periodic point free self-continuous maps on the following connected compact manifolds: CPn the n-dimensional complex projective space, HPn the n-dimensional quaternion projective space. S-n the n-dimensional sphere and S-P x S-q the product space of the p-dimensional with the q-dimensional spheres. (C) 2011 Elsevier B.V. All rights reserved.