Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type
Cousillas, Gonzalo (Universidad de la República (Uruguai). Instituto de Matemática y Estadística "Rafael Laguardia")
Groisman, Jorge (Universidad de la República (Uruguai). Instituto de Matemática y Estadística "Rafael Laguardia")
Xavier, Juliana (Universidad de la República (Uruguai). Instituto de Matemática y Estadística "Rafael Laguardia")

Additional title:	Linearization of topologically Anosov homeomorphisms of non compact surfaces
Date:	2021
Abstract:	We study the dynamics of Topologically Anosov homeomorphisms of non compact surfaces. In the case of surfaces of genus zero and finite type, we classify them. We prove that if f : S → S, is a Topologically Anosov homeomorphism where S is a non-compact surface of genus zero and finite type, then S = R2 and f is conjugate to a homothety or reverse homothety (depending on wether f preserves or reverses orientation). A weaker version of this result was conjectured in [CGX].
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Topologically expansive homeomorphism ; Topological shadowing property ; Topologically Anosov plane homeomorphism
Published in:	Topological Methods in Nonlinear Analysis, Vol. 58, Issue 1 (September 2021) , p. 323-333, ISSN 1230-3429

DOI: 10.12775/TMNA.2021.002

Postprint 7 p, 284.1 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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