Simultaneous linearization of a class of pairs of involutions with normally hyperbolic composition
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Abstract
In this paper we obtain a result on simultaneous linearization for a class of pairs of involutions whose composition is normally hyperbolic. This extends the corresponding result when the composition of the involutions is a hyperbolic germ of diffeomorphism. Inside the class of pairs with normally hyperbolic composition, we obtain a characterization theorem for the composition to be hyperbolic. In addition, related to the class of interest, we present the classification of pairs of linear involutions via linear conjugacy. © 2012 Elsevier Masson SAS.
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Involution, Linearization, Normal hyperbolicity, Transversality
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English
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Bulletin des Sciences Mathematiques, v. 137, n. 4, p. 418-433, 2013.
