Periodic structure of transversal maps on sum-free products of spheres

Abstract

In this article we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular we give conditions for the maps to have infinitely many even and odd periods. Moreover we give conditions for having non-zero Lefschetz numbers of period m, for infinitely many m's. We generalize the results for transversal maps on rational exterior spaces of rank 1.