Dynamical coherence of partially hyperbolic diffeomorphisms on nilmanifolds isotopic to Anosov

2019/10/11 by Piñeyrúa, Luis Pedro
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.05279

Abstract

The purpose of this article is to obtain dynamically coherence of partially hyperbolic diffeomorphisms in certain classes of Anosov diffeomorphisms on nilmanifolds, extending a result due to T. Fisher, R. Potrie and M. Sambarino [FPS] on the torus.

Related

• Dynamical coherence of partially hyperbolic diffeomorphisms of tori isotopic to Anosov
• Dynamical incoherence for a large class of partially hyperbolic\n diffeomorphisms
• Partial hyperbolicity and foliations in \mathbbT³
• Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms
• Partially hyperbolic diffeomorphisms with a trapping property