2014/10/31 by Stefano Luzzatto, Sina Türeli, Sina Tureli +1
Mathematics · #Context (archaeology) #Dynamical systems theory #Geology #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Invariant (physics) #Lipschitz continuity #Manifold (fluid mechanics) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Tangent #math.DS
paper · pdf · doi:10.1017/etds.2015.64
15 pages
arxiv created 2015/05/26 · openalex publication_date 2016/02/11 · arxiv updated 2016/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the integrability of two-dimensional invariant distributions (tangent sub-bundles) which arise naturally in the context of dynamical systems on 3-manifolds. In particular, we prove unique integrability of dynamically dominated and volume-dominated Lipschitz continuous invariant decompositions as well as distributions with some other regularity conditions.