The Katok-Spatzier Conjecture and Generalized Symmetries
arXiv:0808.2197
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.
Title of paper updated to appropriately reflect the history of the conjecture; 14 pages