Sets of Periods for Expanding Maps on Flat Manifolds |
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Authors: | Roberto Tauraso |
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Affiliation: | (1) University of Firenze, Italy, IT |
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Abstract: | It is proven that the sets of periods for expanding maps on n-dimensional flat manifolds are uniformly cofinite, i.e. there is a positive integer m 0, which depends only on n, such that for any integer , for any n-dimensional flat manifold ℳ and for any expanding map F on ℳ, there exists a periodic point of F whose least period is exactly m. (Received 10 April 1998; in revised form 20 January 1999) |
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Keywords: | 1991 Mathematics Subject Classification: 58F15 55M20 57S30 |
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