Reducing the number of periodic points in the smooth homotopy class of a self-map of a simply-connected manifold with periodic sequence of Lefschetz numbers
Grzegorz Graff, Agnieszka Kaczkowska · Annales Polonici Mathematici · 2012
Let $f$ be a smooth self-map of an $m$-dimensional ($m\geq 4$) closed connected and simply-connected manifold such that the sequence $\{L(f^n)\}_{n=1}^{\infty}$ of the Lefschetz numbers of its iterations is periodic. For a fixed natural $r$ we wish to