Global rigidity of certain Abelian actions by toral automorphisms
Federico Rodriguez Hertz - IMERL-Facultad de Ingeniería, Universidad de la República, ulio Herrera y Reissig 565, CC 30, 11300 Montevideo, Uruguay (email)
Abstract: We prove global rigidity results for some linear abelian actions on tori. The type of actions we deal with includes in particular maximal rank semisimple actions on $\mathbb T^N$.
Keywords: Anosov actions, rigidity, smooth conjugacy.
Received: June 2006; Revised: March 2007; Available Online: April 2007.