JournalsaihpcVol. 35, No. 6pp. 1687–1706

Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle

  • Chao Liang

    School of Statistics and Mathematics, CUFE, 39 South College Road, Haidian District, 100081, Beijing, China

  • Karina Marin

    IMPA, Estrada D. Castorina 110, Jardim Botânico, 22460-320, Rio de Janeiro, Brazil

  • Jiagang Yang

    Departamento de Geometria, Instituto de Matemática e Estatística, UFF, Rua Mário Santos Braga, 24020-140, Niterói, Brazil
Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle cover
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Abstract

We consider the set of partially hyperbolic symplectic diffeomorphisms which are accessible, have 2-dimensional center bundle and satisfy some pinching and bunching conditions. In this set, we prove that the non-uniformly hyperbolic maps are open and there exists a open and dense subset of continuity points for the center Lyapunov exponents. We also generalize these results to volume-preserving systems.

Cite this article

Chao Liang, Karina Marin, Jiagang Yang, Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 6, pp. 1687–1706

DOI 10.1016/J.ANIHPC.2018.01.007