Classification of special Anosov endomorphisms of nil-manifolds

DOI10.1007/s10114-019-8073-6zbMath1430.37033arXiv1702.08821OpenAlexW2989654025WikidataQ126805931 ScholiaQ126805931MaRDI QIDQ2287763

Seyed Mohsen Moosavi, Khosro Tajbakhsh

Publication date: 21 January 2020

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08821

zbMATH Keywords

hyperbolicitynilmanifoldsAnosov endomorphismsspecial Anosov endomorphisms

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems with hyperbolic orbits and sets (37D05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

Anosov endomorphisms on the two-torus: regularity of foliations and rigidity ⋮ On codimension one special Anosov endomorphisms ⋮ Rigidity of stable Lyapunov exponents and integrability for Anosov maps ⋮ Smooth TA-maps with robust shadowing are Axiom A ⋮ ROBUST SPECIAL ANOSOV ENDOMORPHISMS

Cites Work

• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Topological Anosov maps of infra-nil-manifolds
• What an infra-nilmanifold endomorphism really should be \dots
• Anosov endomorphisms
• Anosov Diffeomorphisms on Tori
• Endomorphisms of Compact Differentiable Manifolds
• Differentiable dynamical systems
• There are No New Anosov Diffeomorphisms on Tori
• Anosov Diffeomorphisms on Nilmanifolds
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