Partially hyperbolic diffeomorphisms and Lagrangian contact structures

DOI10.1017/etds.2021.54zbMath1505.37045arXiv2002.10720OpenAlexW3214572567WikidataQ114118778 ScholiaQ114118778MaRDI QIDQ5086962

Martin Mion-Mouton

Publication date: 8 July 2022

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

Full work available at URL: https://arxiv.org/abs/2002.10720

zbMATH Keywords

partially hyperbolic diffeomorphismsrigid geometric structuresLagrangian contact structuresparabolic Cartan geometries

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Geometrical compactifications of geodesic flows and path structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On two theorems about local automorphisms of geometric structures
• The gap phenomenon in parabolic geometries
• An embedding theorem for automorphism groups of Cartan geometries
• Three-dimensional Anosov flag manifolds
• 3-dimensional Lorentz space-forms and Seifert fiber spaces
• Three-dimensional affine crystallographic groups
• Killing fields in compact Lorentz 3-manifolds
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
• Transformation groups in differential geometry.
• Classification of homogeneous submanifolds in homogeneous spaces
• Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center
• Nilmanifolds of dimension ≤8 admitting Anosov diffeomorphisms
• Geodesic flows of negatively curved manifolds with smooth stable and unstable foliations
• Flots d'Anosov dont les feuilletages stables sont différentiables
• Flots d'Anosov a Distributions Stable et Instable Differentiables
• Quasi-Anosov Diffeomorphisms and Hyperbolic Manifolds
• Partial hyperbolicity and classification: a survey
• Classification of partially hyperbolic diffeomorphisms under some rigid conditions
• Orbits of Families of Vector Fields and Integrability of Distributions
• Variations on Gromov's open-dense orbit theorem
• Differentiable dynamical systems

This page was built for publication: Partially hyperbolic diffeomorphisms and Lagrangian contact structures