The least number, of \(n\)-periodic points of a self-map of a solvmanifold, can be realised by a smooth map

DOI10.1016/j.topol.2011.03.002zbMath1221.55004OpenAlexW2087921384MaRDI QIDQ549127

Jerzy Jezierski

Publication date: 7 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.03.002

zbMATH Keywords

fixed point indexperiodic pointNielsen fixed point theoryleast number of periodic points

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20)

Related Items (5)

A sufficient condition for the realizability of the least number of periodic points of a smooth map ⋮ When a smooth self-map of a semi-simple Lie group can realize the least number of periodic points ⋮ Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces ⋮ Least number of periodic points of self-maps of Lie groups ⋮ Least number of \(n\)-periodic points of self-maps of \(PSU(2)\times PSU(2)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimizing the number of periodic points for smooth maps. Non-simply connected case
• Fixed points and braids
• Minimizing the number of fixed points for self-maps of compact surfaces
• A remark on the Lefschetz fixed point formula for differentiable maps
• Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. I
• Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. II
• Wecken's theorem for periodic points in dimension at least 3
• Minimal number of periodic points for smooth self-maps of S³
• Lectures on Nielsen fixed point theory

This page was built for publication: The least number, of \(n\)-periodic points of a self-map of a solvmanifold, can be realised by a smooth map