HOMOTOPY MINIMAL PERIODS FOR HYPERBOLIC MAPS ON INFRA-NILMANIFOLDS

© 2017 Foundation Nagoya Mathematical Journal. In this paper, we show that for every nonnilpotent hyperbolic map f on an infra-nilmanifold, the set HPer(f) is cofinite in ℕ. This is a generalization of a similar result for expanding maps in Lee and Zhao (J. Math. Soc. Japan 59(1) (2007), 179{184). Moreover, we prove that for every nilpotent map f on an infra-nilmanifold, HPer(f) = {1}.

Publication year:2018

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Authors from:Higher Education

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