Nielsen type numbers and homotopy minimal periods for maps on solvmanifolds with \(\operator
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- 作者：Jang Hyun Jo ; Jong Bum Lee
- 关键词：homotopy minimal periods ; Nielsen numbers ; Nielsen type numbers ; \(\operatorname{Sol}_{1}^{4}\) ; ; solvmanifolds
- 刊名：Fixed Point Theory and Applications
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：1,708 KB
- 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
- 出版者：Springer International Publishing
- ISSN：1687-1812
文摘
For all maps f on the special solvmanifolds with \(\operatorname{Sol}_{1}^{4}\)-geometry, we give explicit formulas for a complete computation of the Nielsen type numbers \(\operatorname{NP}_{n}(f)\) and \(\mathrm{N}\Phi _{n}(f)\). We also give a complete description of the sets of homotopy minimal periods of all such maps.