Word maps, isotopy and entropy
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- by David Fried
- Trans. Amer. Math. Soc. 296 (1986), 851-859
- DOI: https://doi.org/10.1090/S0002-9947-1986-0846609-X
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Abstract:
We find diffeomorphisms of low entropy in each isotopy class on ${S^3} \times {S^3}$. These arise as word maps, a nonabelian analogue of toral automorphisms. Hyperbolic examples of equal entropy are also found. The group ${\pi _0}\;\operatorname {Diff} ({S^3} \times {S^3})$ is computed.References
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Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 296 (1986), 851-859
- MSC: Primary 58F99; Secondary 28D20, 57R52
- DOI: https://doi.org/10.1090/S0002-9947-1986-0846609-X
- MathSciNet review: 846609