Nonexistence of Positively Expansive Maps on Compact Connected Manifolds with Boundary

DOI10.2307/2048105zbMath0707.54027OpenAlexW4251351861MaRDI QIDQ3488863

Koichi Hiraide

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048105

zbMATH Keywords

manifold with boundaryinfra-nil-manifoldpositively expansive map

Mathematics Subject Classification ID

Continua and generalizations (54F15) Special maps on metric spaces (54E40) Dynamical systems with hyperbolic behavior (37D99)

Related Items (11)

Is the composite of two expansive maps expansive? ⋮ A universal, canonical dispersive ordering in metric spaces ⋮ Positively expansive dynamical systems ⋮ Expansive properties of induced dynamical systems ⋮ Positively expansive homeomorphisms on compact metric spaces ⋮ Proof of the hyperplane zeros conjecture of Lagarias and Wang ⋮ Asymptotic expansivity ⋮ (Non-)expansivity in functional envelopes ⋮ Topologically sensitive dynamical systems ⋮ Local stable sets of almost periodic points ⋮ Nonexistence of codimension one Anosov flows on compact manifolds with boundary

Cites Work

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• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Expanding maps on compact metric spaces
• Positively Expansive Maps and Growth of Fundamental Groups
• Nonexistence of local expansions on certain continua
• Endomorphisms of Compact Differentiable Manifolds

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