Simultaneous linearization of a class of pairs of involutions with normally hyperbolic composition

Solange Mancini,Miriam Manoel,Marco Antonio Teixeira

doi:10.1016/j.bulsci.2012.10.004

Simultaneous linearization of a class of pairs of involutions with normally hyperbolic composition

Solange Mancini, Miriam Manoel + Show 1 more

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https://doi.org/10.1016/j.bulsci.2012.10.004

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Journal: Bulletin des Sciences Mathématiques	Publication Date: Oct 10, 2012
Citations: 3	License type: publisher-specific-oa

Affiliation: Universidade Estadual Paulista (Unesp), Universidade de São Paulo, Universidade Estadual de Campinas

#Pairs Of Involutions #Linear Conjugacy + Show 3 more

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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.

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