Baraviera, Alexandre T.; Bonatti, Christian Removing zero Lyapunov exponents. (English) Zbl 1048.37026 Ergodic Theory Dyn. Syst. 23, No. 6, 1655-1670 (2003). Motivated by M. Shub and A. Wilkinson’s result [Invent. Math. 139, 495–508 (2000; Zbl 0976.37013)] for an explicit family of partially hyperbolic diffeomorphisms of the torus \(T^3\) in perturbing the Lyapunov exponents of the center direction, the authors present a local version of their arguments, allowing one to perturb the center Lyapunov exponents of any partially hyperbolic system, in any dimension and with arbitrary dimension of the center bundle. Reviewer: Boris V. Loginov (Ul’yanovsk) Cited in 3 ReviewsCited in 39 Documents MSC: 37D30 Partially hyperbolic systems and dominated splittings Keywords:torus \(T^3\); partially hyperbolic diffeomorphisms; perturbation of the zero Lyapunov exponents Citations:Zbl 0976.37013 PDFBibTeX XMLCite \textit{A. T. Baraviera} and \textit{C. Bonatti}, Ergodic Theory Dyn. Syst. 23, No. 6, 1655--1670 (2003; Zbl 1048.37026) Full Text: DOI