Nielsen type numbers and homotopy minimal periods for maps on solvmanifolds with \(\operatorname{Sol}_{1}^{4}\)-geometry

DOI10.1186/s13663-015-0427-xzbMath1342.55002OpenAlexW2158420762WikidataQ59428831 ScholiaQ59428831MaRDI QIDQ288171

Jong Bum Lee, Jang Hyun Jo

Publication date: 25 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0427-x

zbMATH Keywords

Nielsen type numberNielsen numbersolvmanifold\(\mathrm{Sol}^4_1\)homotopy minimal period

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Discontinuous groups of transformations (57S30)

Related Items (5)

Nielsen spectrum of maps on infra-solvmanifolds modeled on $Sol_0^{kern2pt 4}$ ⋮ Unnamed Item ⋮ \(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\) ⋮ The R∞ property for crystallographic groups of Sol14 ⋮ Density of the homotopy minimal periods of maps on infra-solvmanifolds

Cites Work

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• Homotopy minimal periods for \(NR\)-solvmanifolds maps
• Minimal sets of periods for torus maps via Nielsen numbers
• The Anosov theorem for exponential solvmanifolds
• Nielsen type numbers and homotopy minimal periods for maps on 3-solvmanifolds
• Crystallographic groups of Sol
• Anosov theorem for coincidences on special solvmanifolds of type $(\mathrm {R})$
• COMPUTATION OF THE NIELSEN TYPE NUMBERS FOR MAPS ON THE KLEIN BOTTLE
• Lectures on Nielsen fixed point theory
• AFFINE STRUCTURES FOR CLOSED 3-DIMENSIONAL MANIFOLDS WITH NIL-GEOMETRY
• Averaging Formula for Nielsen Numbers of Maps on Infra-Solvmanifolds of Type (R)

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