Expanding maps on infra-nilmanifolds of homogeneous type

DOI10.1090/S0002-9947-02-03084-2zbMath1009.37018MaRDI QIDQ4787452

Karel Dekimpe, Kyung Bai Lee

Publication date: 7 January 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

infra-nilmanifoldexpanding maphomogeneous Lie group

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Nilpotent and solvable Lie groups (22E25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Solvable, nilpotent (super)algebras (17B30)

Related Items (8)

Expanding maps, Anosov diffeomorphisms and affine structures on infra-nilmanifolds. ⋮ Eventually periodic points of infra-nil endomorphisms ⋮ Expanding maps on 2-step infra-nilmanifolds ⋮ Lefschetz numbers for continuous maps, and periods for expanding maps on infra-nilmanifolds ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Formality properties of finitely generated groups and Lie algebras ⋮ Cantor dynamics of renormalizable groups ⋮ Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups

Cites Work

• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Almost-Bieberbach groups: affine and polynomial structures
• Affine structures on a class of virtually nilpotent groups
• Derivations of Lie algebras. III
• Homogeneous Lie Algebras and Expanding Automorphisms
• Expanding maps on 2-step infra-nilmanifolds
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