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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Word maps, isotopy and entropy


Author: David Fried
Journal: Trans. Amer. Math. Soc. 296 (1986), 851-859
MSC: Primary 58F99; Secondary 28D20, 57R52
MathSciNet review: 846609
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0846609-X
PII: S 0002-9947(1986)0846609-X
Article copyright: © Copyright 1986 American Mathematical Society