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arxiv: math/0203126 · v1 · submitted 2002-03-13 · 🧮 math.DS · math.DG· math.RT

Examples of Anosov diffeomorphisms

classification 🧮 math.DS math.DGmath.RT
keywords anosovexamplesnilmanifoldsadmittingclassificationcommensurabilityconstructdiffeomorphism
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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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