On the Lefschetz periodic point free continuous self-maps on connected compact manifolds

Agraïments: The first author was partially supported by Fundación Séneca de la Región de Murcia, grant number 08667/PI/08 and Junta de Comunidades de Castilla-La Mancha, grant number PEII09-0220-0222.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, Sn the n-dimensional sphere and Sp ×Sq the product space of the p-dimensional with the q-dimensional spheres