Homotopy minimal period self-maps on flat manifolds

Authors

Jerome W. Hoffman, Louisiana State University
Z. Liang, Capital Normal University
Yukiko Sakai, Kitasato University
Xuezhi Zhao, Capital Normal University

Document Type

Article

Publication Date

11-25-2013

Abstract

This paper studies the homotopical minimal period set for self-maps on flat manifolds. We introduce a new invariant: the density of the homotopical minimal period set in the natural numbers. Some conditions on self-maps and flat manifolds are obtained so that the corresponding density is positive. © 2013 Elsevier Inc.

Publication Source (Journal or Book title)

Advances in Mathematics

First Page

324

Last Page

334

Recommended Citation

Hoffman, J., Liang, Z., Sakai, Y., & Zhao, X. (2013). Homotopy minimal period self-maps on flat manifolds. Advances in Mathematics, 248, 324-334. https://doi.org/10.1016/j.aim.2013.08.009