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

 

Equivariant diffeomorphisms with simple recurrences on two-manifolds


Authors: W. de Melo, G. L. dos Reis and P. Mendes
Journal: Trans. Amer. Math. Soc. 289 (1985), 793-807
MSC: Primary 58F10; Secondary 57S15
MathSciNet review: 784014
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Abstract: We consider the class of diffeomorphisms, on compact two-dimensional manifolds, which are invariant under the action of a compact Lie group $ G$ and whose nonwandering set consists of a finite number of $ G$-orbits. We describe the modulus of stability of almost all diffeomorphisms in this class.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0784014-4
PII: S 0002-9947(1985)0784014-4
Keywords: Compact Lie groups, equivariant diffeomorphisms, structural stability, modulus of stability
Article copyright: © Copyright 1985 American Mathematical Society