Periods of Morse–Smale diffeomorphisms of $\mathbb S^2$
Colloquium Mathematicum 110 (2008), 477-483 MSC: Primary 58F20. DOI: 10.4064/cm110-2-10
The aim of this paper is to describe the set of periods of a Morse–Smale diffeomorphism of the two-dimensional sphere according to its homotopy class. The main tool for proving this is the Lefschetz fixed point theory.