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arxiv: 0808.2197 · v2 · submitted 2008-08-15 · 🧮 math.DS · math.NT

The Katok-Spatzier Conjecture and Generalized Symmetries

classification 🧮 math.DS math.NT
keywords generalizedn-torussymmetriesabelianactionsanosovcategoryclassification
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Within the smooth category, an intertwining is exhibited between the global rigidity of irreducible higher rank abelian Anosov actions on the n-torus and the classification of equilibrium-free flows on the n-torus that possess nontrivial generalized symmetries.

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