The Katok-Spatzier Conjecture and Generalized Symmetries
Dynamical Systems
2008-08-29 v2 Number Theory
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.
Cite
@article{arxiv.0808.2197,
title = {The Katok-Spatzier Conjecture and Generalized Symmetries},
author = {Lennard F. Bakker},
journal= {arXiv preprint arXiv:0808.2197},
year = {2008}
}
Comments
Title of paper updated to appropriately reflect the history of the conjecture; 14 pages