Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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DENSITY OF THE HOMOTOPY MINIMAL PERIODS OF MAPS ON INFRA-SOLVMANIFOLDS OF TYPE (R)

  • Lee, Jong Bum (Department of Mathematics Sogang University) ;
  • Zhao, Xuezhi (Department of Mathematics Institute of Mathematics and Interdisciplinary Science Capital Normal University)
  • Received : 2017.03.17
  • Accepted : 2017.06.01
  • Published : 2018.03.01
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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). We give some examples of maps on infra-solvmanifolds of dimension three for which the corresponding density is positive.

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References

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