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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2018; 55(2): 293-311

Online first article August 2, 2017      Printed March 1, 2018

https://doi.org/10.4134/JKMS.j170189

Copyright © The Korean Mathematical Society.

Density of the homotopy minimal periods of maps on infra-solvmanifolds of type (R)

Jong Bum Lee, Xuezhi Zhao

Sogang University, Capital Normal University

Abstract

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We study the homotopical minimal periods for maps on infra-solvmanifolds of type (R) using the density of the homotopical minimal period set in the natural numbers. This extends the result of \cite{Zhao et al} from flat manifolds to infra-solvmanifolds of type (R). We give some examples of maps on infra-solvmanifolds of dimension three for which the corresponding density is positive.

Keywords: holonomy, homotopy minimal period, infra-solvmanifold, periodic point

MSC numbers: 37C25, 55M20

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