Examples of Anosov diffeomorphisms

2002/03/13 by Jorge Lauret, Lauret, Jorge
Chemistry · Mathematics · #20F34 (secondary) #22E25 #37D20 (primary) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Molecular spectroscopy and chirality #Representation Theory (math.RT) #math.DG #math.DS #math.RT #msc:20F34 #msc:22E25 #msc:37D20

paper · pdf · doi:10.48550/arxiv.math/0203126

8 pages, AMS-LaTEX

arxiv created 2002/03/13 · openalex publication_date 2002/03/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a simple procedure to construct explicit examples of nilmanifolds admitting an Anosov diffeomorphism, and show that a reasonable classification up to homeomorphism (or even up to commensurability) of such nilmanifolds would not be possible.

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