Anosov diffeomorphisms on Thurston geometric 4-manifolds
| Autor: | Christoforos Neofytidis |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Mathematics::Dynamical Systems Closed manifold Hyperbolic geometry Dynamical Systems (math.DS) Group Theory (math.GR) 01 natural sciences Mathematics - Geometric Topology 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Anosov diffeomorphism Mathematics - Dynamical Systems 0101 mathematics Mathematics::Symplectic Geometry Mathematics 010102 general mathematics Geometric Topology (math.GT) Mathematics::Geometric Topology Manifold Nilpotent Differential geometry 010307 mathematical physics Geometry and Topology Diffeomorphism Topological conjugacy Mathematics - Group Theory |
| Zdroj: | Geometriae Dedicata. 213:325-337 |
| ISSN: | 1572-9168 0046-5755 |
| DOI: | 10.1007/s10711-020-00583-x |
| Popis: | A long-standing conjecture asserts that any Anosov diffeomorphism of a closed manifold is finitely covered by a diffeomorphism which is topologically conjugate to a hyperbolic automorphism of a nilpotent manifold. In this paper, we show that any closed 4-manifold that carries a Thurston geometry and is not finitely covered by a product of two aspherical surfaces does not support (transitive) Anosov diffeomorphisms. 13 pages; v2: final version, to appear in Geometriae Dedicata |
| Databáze: | OpenAIRE |
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