Density of the homotopy minimal periods of maps on infra-solvmanifolds

Jong Bum Lee; Xuezhi Zhao

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arXiv · 1404.5114

Density of the homotopy minimal periods of maps on infra-solvmanifolds

Jong Bum Lee·Xuezhi Zhao

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Abstract

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 [10] from flat manifolds to infra-solvmanifolds of type (R). Applying our main result we will list all possible maps on infra-solvmanifolds up to dimension three for which the corresponding density is positive.

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BibTeX RIS

Jong Bum Lee, Xuezhi Zhao. 2014-04-21. Density of the homotopy minimal periods of maps on infra-solvmanifolds. https://arxiv.org/abs/1404.5114

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