A class ofC∞-stable foliations

DOI10.1017/S0143385700007628zbMath0801.58038OpenAlexW2018141661MaRDI QIDQ4290046

Marcel Nicolau, Aziz El Kacimi Alaoui

Publication date: 29 November 1994

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700007628

zbMATH Keywords

structural stabilitystable foliationAnosov diffeomorphism

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items

Lifting of a Riemannian flag and Lie flags of the \(n+1\)-dimensional hyperbolic torus ⋮ Locally free actions of solvable Lie groups ⋮ Local rigidity problem of smooth group actions ⋮ On deformations of coisotropic submanifolds with fixed characteristic foliation ⋮ The spectral sequence of the canonical foliation of a Vaisman manifold ⋮ Leafwise Dolbeault cohomology of certain complex foliations ⋮ Locally free actions of non-unimodular groups

Cites Work

• Actions localement libres du groupe affine
• Stabilité et conjugaison différentiable pour certains feuilletages
• Rigidity for Anosov actions of higher rank lattices
• Local rigidity for certain groups of toral automorphisms
• On stability of compact leaves and fibrations
• Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
• Deformation rigidity for subgroups of 𝑆𝐿(𝑛,𝐙) acting on the 𝐧-torus
• The inverse function theorem of Nash and Moser