HOMOTOPY MINIMAL PERIOD SELF-MAPS ON FLAT MANIFOLDS WITH CYCLIC HOLONOMIES*

摘要

This paper studies the homotopical minimal period of self-maps on flat manifolds with cyclic holonomies. We give some necessary conditions on the self-maps on flat manifolds to guarantee that their homotopical minimal periods are infinite. Furthermore, a kind of density of homotopical minimal periods in the natural number set is considered.