Nielsen type numbers and homotopy minimal periods for maps on the 3-nilmanifolds
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Publication:931528
DOI10.1007/s11425-008-0003-5zbMath1158.55003OpenAlexW3162271842MaRDI QIDQ931528
Publication date: 25 June 2008
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-008-0003-5
Fixed points and coincidences in algebraic topology (55M20) Discontinuous groups of transformations (57S30)
Related Items (11)
Nielsen type numbers and homotopy minimal periods for maps on solvmanifolds with \(\operatorname{Sol}_{1}^{4}\)-geometry ⋮ Unnamed Item ⋮ Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds ⋮ Nielsen type numbers and homotopy minimal periods for maps on 3-solvmanifolds ⋮ The R∞ property for crystallographic groups of Sol14 ⋮ Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds ⋮ On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups ⋮ Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces ⋮ Density of the homotopy minimal periods of maps on infra-solvmanifolds ⋮ Minimal number of periodic points for smooth self-maps of \(\mathbb {R}P^3\) ⋮ The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits
Cites Work
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- Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. I
- Minimal sets of periods for torus maps
- Homotopy minimal periods for maps of three-dimensional nilmanifolds.
- Minimal sets of periods for torus maps via Nielsen numbers
- Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
- The Nielsen numbers of maps of nil-manifolds
- Anosov theorem for coincidences on nilmanifolds
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