The Nielsen type numbers for maps on a 3-dimensional flat Riemannian manifold
KeywordsFlat manifold, Nielsen type numbers
AbstractLet $f\colon M\to M$ be a self-map on a $3$-dimensional flat Riemannian $M$. We compute the Lefschetz number and the Nielsen number of $f$ by using the infra-nilmanifold structure of $M$ and the averaging formulas for the Lefschetz numbers and the Nielsen numbers of maps on infra-nilmanifolds. For each positive integer $n$, we provide an explicit algorithm for a complete computation of the Nielsen type numbers $\NP_n(f)$ and $N\Phi_n(f)$ of $f^n$.
How to Cite
HA, Ku Yong & LEE, Jong Bum. The Nielsen type numbers for maps on a 3-dimensional flat Riemannian manifold. Topological Methods in Nonlinear Analysis [online]. 1 June 2015, T. 45, nr 2, s. 327–362. [accessed 29.1.2023]. DOI 10.12775/TMNA.2015.017.
Number of views and downloads: 0
Number of citations: 3