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Density of the homotopy minimal periods of maps on infra-solvmanifolds of type $\R$

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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.

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 \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.

참고문헌 (35)

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