The Anosov theorem for infranilmanifolds with an odd-order Abelian holonomy group

DOI10.1155/FPTA/2006/63939zbMath1113.55001OpenAlexW1977413183WikidataQ59212650 ScholiaQ59212650MaRDI QIDQ2491515

Bram De Rock, Karel Dekimpe, Hannes Pouseele

Publication date: 29 May 2006

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53133

zbMATH Keywords

fixed point theoryNielsen numberLefschetz numberinfra-nilmanifolds

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Fixed points and coincidences in algebraic topology (55M20)

Related Items (2)

The Anosov relation for Nielsen numbers of maps of infra-nilmanifolds ⋮ Nielsen zeta functions on infra-nilmanifolds up to dimension three

Cites Work

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• Homotopy minimal periods for \(NR\)-solvmanifolds maps
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• The construction of affine structures on virtually nilpotent groups
• The Anosov theorem for exponential solvmanifolds
• Lefschetz numbers for continuous maps, and periods for expanding maps on infra-nilmanifolds
• Almost-Bieberbach groups: affine and polynomial structures
• The Nielsen numbers of virtually unipotent maps on infra-nilmanifolds
• Lectures on Nielsen fixed point theory
• The Nielsen numbers of maps of nil-manifolds
• The Nielsen Numbers of Homotopically Periodic Maps of Infranilmanifolds
• Model solvmanifolds for Lefschetz and Nielsen theories

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