Repozytorium publikacji - Politechnika Gdańska

Let f be a smooth self-map of an m-dimensional (m >3) closed connected and simply-connected manifold such that the sequence of the Lefschetz num- bers of its iterations is periodic. For a fixed natural r we wish to minimize, in the smooth homotopy class, the number of periodic points with periods less than or equal to r. The resulting number is given by a topological invariant J[f] which is defned in combinatorial terms and is constant for all suciently large r. We compute J[f] for self-maps of some manifolds with simple structure of homology groups.

Autorzy

• prof. dr hab. Grzegorz Graff link otwiera się w nowej karcie ,
• dr inż. Agnieszka Kaczkowska link otwiera się w nowej karcie