peridos for transversal coincidence maps on compact manifolds with a given cohomology (Homology)

Let M be a compact connected smooth manifold such that its rational cohomology (homology) is H^J(M;Q) ͌ Q ( Hj(M;Q)͌ Q) if j ϵ j Π {0} H^J(M;Q) ͌ {0} ( Hj (M; Q) ͌ {0} ) otherwise , were J is a subset of the set of natural numbers N with cardinal 1 or 2 . A C1 maps f, g : M — M is called transversal coincidence maps if for all m ϵ N the graph of f m intersects transversally the graph of gm at each point (x,f^m(x) = g^m(x)) such that x is a coincidence point of f^m and g^m. This paper study the set of periods of f and g by using the Lefschetz coincidence numbers for periodic coincidence points .