Expanding maps on 2-step infra-nilmanifolds

DOI10.1016/S0166-8641(00)00104-8zbMath1011.57010MaRDI QIDQ5957277

Hyunkoo Lee, Kyung Bai Lee

Publication date: 6 March 2002

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

expanding endomorphism

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Differentiable mappings in differential topology (57R35)

Related Items (5)

Expanding maps on infra-nilmanifolds of homogeneous type ⋮ The Anosov relation for Nielsen numbers of maps of infra-nilmanifolds ⋮ Expanding maps, Anosov diffeomorphisms and affine structures on infra-nilmanifolds. ⋮ Nilpotent Cantor actions ⋮ Cantor dynamics of renormalizable groups

Cites Work

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• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Expanding endomorphisms of flat manifolds
• Two-step nilpotent Lie algebras
• Derivations of Nilpotent Lie Algebras
• [https://portal.mardi4nfdi.de/wiki/Publication:3670195 Topological Characterization of Flat and Almost Flat Riemannian Manifolds M n (n � 3, 4)]
• Homogeneous Lie Algebras and Expanding Automorphisms
• Expanding maps on infra-nilmanifolds of homogeneous type
• INFRA-SOLVMANIFOLDS OF TYPE (R)
• Conjugacy in Nilpotent Groups
• A nilpotent Lie algebra with nilpotent automorphism group
• Endomorphisms of Compact Differentiable Manifolds

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