Geometric expansion, Lyapunov exponents and foliations

DOI10.1016/j.anihpc.2008.07.001zbMath1173.37031arXivmath/0611324OpenAlexW1985757649MaRDI QIDQ1012366

Radu Saghin, Zhihong Xia

Publication date: 16 April 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611324

zbMATH Keywords

partially hyperbolicFubini's nightmarehomology of foliations

Mathematics Subject Classification ID

Integration of real functions of several variables: length, area, volume (26B15) Foliations in differential topology; geometric theory (57R30) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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Cites Work

• Volume growth and entropy
• Continuity properties of entropy
• Foliations with measure preserving holonomy
• Currents, flows and diffeomorphisms
• Entropy and stability
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• Stably ergodic dynamical systems and partial hyperbolicity
• Pathological foliations and removable zero exponents
• Non-absolutely continuous foliations
• Asymptotic cycles
• Topological entropy and partially hyperbolic diffeomorphisms
• Removing zero Lyapunov exponents