Periods for transversal coincidence maps on compact manifolds with a given cohomology homology

Abstract EN

Let M be a compact connected smooth manifold such that its rational cohomology (homology) is HJ(M',Q)~Q if j Є J ᵔ {0} « {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 e N the graph of fm intersects transversally the graph of gm at each point (x,fm(x) =gm(x)) such that x is a coincidcnce point of fm and gm.

This paper study the set of periods of / and g by using the Lefschetz coincidence numbers for periodic coincidence points .