Abstract

We present the actual state of the study of the minimal sets of Lefschetz periods MPerL(f) for the Morse-Smale diffeomorphisms on some closed manifolds, as the connected compact surfaces (orientable or not) without boundary, the n-dimensional torus and some other manifolds. The results on MPerL(f) are valid for C1 self-maps on the mentioned closed manifolds with finitely many periodic points all of them hyperbolic such that all the eigenvalues of the induced maps on homology are roots of unity. This class of maps includes the Morse-Smale diffeomorphisms.