On Codimension One Anosov Diffeomorphisms

DOI10.2307/2373372zbMath0204.56901OpenAlexW2084923242MaRDI QIDQ5604406

Sheldon E. Newhouse

Publication date: 1970

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373372

Related Items

Some ergodic and rigidity properties of discrete Heisenberg group actions, The set of axiom A diffeomorphisms with no cycles, Plane affine geometry and Anosov flows, Dynamical Systems with Nontrivially Recurrent Invariant Manifolds, The topological classification of structurally stable 3-diffeomorphisms with two-dimensional basic sets, Periodic and eventually periodic points of affine infra-nilmanifold endomorphisms, Two-dimensional attractors of A-flows and fibred links on three-manifolds, Aspherical products which do not support Anosov diffeomorphisms, Topological rigidity of strong stable foliations for Cartan actions, On structurally stable diffeomorphisms with codimension one expanding attractors, Transitive Anosov flows and Axiom-A diffeomorphisms, On Families of Diffeomorphisms with Bifurcations of Attractive and Repelling Sets, Holomorphic Anosov systems, foliations and fibring complex manifolds, Invariants for smooth conjugacy of hyperbolic dynamical systems. II, Invariants for smooth conjugacy of hyperbolic dynamical systems. IV, On the structure of the ambient manifold for Morse-Smale systems without heteroclinic intersections, Rough diffeomorphisms with basic sets of codimension one, Loop space and codimension one Anosov diffeomorphisms, On the topological structure of manifolds supporting axiom a systems, Nil-Anosov actions, On a structure of non-wandering set of an \(\Omega\)-stable 3-diffeomorphism possessing a hyperbolic attractor, On codimension one special Anosov endomorphisms, Rigidity of center Lyapunov exponents for Anosov diffeomorphisms on 3-torus, On partially hyperbolic diffeomorphisms and regular Denjoy type homeomorphisms, On codimension one partially hyperbolic diffeomorphisms, Smale regular and chaotic A-homeomorphisms and A-diffeomorphisms, On periodic points of torus endomorphisms, On local structure of one-dimensional basic sets of non-reversible A-endomorphisms of surfaces, On classification of higher rank Anosov actions on compact manifold, Global rigidity of higher rank lattice actions with dominated splitting, On hyperbolic attractors and repellers of endomorphisms, Topological conjugacy and structural stability for discrete dynamical systems, Global cross sections for Anosov flows, Anosov diffeomorphisms of products I. Negative curvature and rational homology spheres, Lipschitz distributions and Anosov flows, Smooth stabilizers for measures on the torus, Dmitry Viktorovich Anosov: His life and mathematics, Arc exchange systems and renormalization, Codimension one compact center foliations are uniformly compact, Prevalence of non-Lipschitz Anosov foliations, Partial hyperbolicity and classification: a survey, Diffeomorphisms with positive metric entropy, Constraints on dynamics preserving certain hyperbolic sets, Anosov Diffeomorphisms and Expanding Immersions. II, Manifolds with higher homotopy which do not support Anosov diffeomorphisms, Ergodic components of partially hyperbolic systems, Locally connected Smale spaces, pinched spectrum, and infra-nilmanifolds, Train tracks withC¹⁺self-renormalizable structures, Unique ergodicity of some flows related to axiom A diffeomorphisms, Lyapunov exponents and rigidity of Anosov automorphisms and skew products, Global rigidity for totally nonsymplectic Anosov \(\mathbb Z^k\) actions, Anosov diffeomorphism with a horseshoe that attracts almost any point, On surface attractors and repellers in 3-manifolds, Anosov diffeomorphisms on Thurston geometric 4-manifolds, Local product structure for expansive homeomorphisms, Theory of dynamical systems and general transformation groups with invariant measure, Transitivity of codimension-one Anosov actions of ℝ^k on closed manifolds, An attracting singular-hyperbolic set containing a non trivial hyperbolic repeller, A \(\lambda \)-lemma for foliations, Hyperbolicity, transitivity and the two-sided limit shadowing property, Anosov diffeomorphisms of products II. Aspherical manifolds, Partial hyperbolicity and robust transitivity, A curve in the unstable foliation of an Anosov diffeomorphism with globally defined holonomy, On closed manifolds admitting an Anosov diffeomorphism but no expanding map, Locating Ruelle–Pollicott resonances*, Omega-classification of Surface Diffeomorphisms Realizing Smale Diagrams, Cantor Type Basic Sets of Surface $A$-endomorphisms, Topological classification of structurally stable 3-diffeomorphisms with two-dimensional basis sets, Partially hyperbolic diffeomorphisms with a trapping property, Continuum-wise expansive diffeomorphisms and conservative systems