The Katok-Spatzier Conjecture and Generalized Symmetries

Abstract

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.

arXiv commentTitle of paper updated to appropriately reflect the history of the conjecture; 14 pages

References in corpus (2)

• Renormalisation of flows on the multidimensional torus close to a KT frequency vector
• Structure of Group Invariants of a Quasiperiodic Flow