There are no transitive Anosov diffeomorphisms on negatively curved manifolds

DOI10.3792/pjaa.59.445zbMath0549.58027OpenAlexW1982019813MaRDI QIDQ800003

Koichi Yano

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.445

zbMATH Keywords

Gromov normAnosov diffeomorphismnegative sectional curvaturereal singular homology

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global Riemannian geometry, including pinching (53C20) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Some sufficient conditions for transitivity of Anosov diffeomorphisms ⋮ Aspherical products which do not support Anosov diffeomorphisms ⋮ Anosov diffeomorphisms of products I. Negative curvature and rational homology spheres ⋮ Manifolds with higher homotopy which do not support Anosov diffeomorphisms ⋮ Anosov diffeomorphisms on Thurston geometric 4-manifolds ⋮ Anosov diffeomorphisms of products II. Aspherical manifolds

Cites Work

• Volume and bounded cohomology
• The Gromov invariant of negatively curved manifolds
• Currents, flows and diffeomorphisms
• Differentiable dynamical systems

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