An Averaging Formula for Nielsen Numbers of Affine n-Valued Maps on Infra-Nilmanifolds: An Averaging Formula for Nielsen Numbers of Affine
In Kim et al. (Nagoya Math J 178: 37-53, 2005), Lee and Lee (J Geometry Phys 56(10): 2011-2023, 2006), the authors developed a nice formula to compute the Nielsen number of a self-map on an infra-nilmanifold. For the case of nilmanifolds this formula was extended to n -valued maps in Deconinck and D...
Gespeichert in:
| Veröffentlicht in: | Boletim da Sociedade Brasileira de Matemática 2024, Vol.55 (4) |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In Kim et al. (Nagoya Math J 178: 37-53, 2005), Lee and Lee (J Geometry Phys 56(10): 2011-2023, 2006), the authors developed a nice formula to compute the Nielsen number of a self-map on an infra-nilmanifold. For the case of nilmanifolds this formula was extended to
n
-valued maps in Deconinck and Dekimpe (J Fixed Point Theory Appl 25(4): Paper No. 84, 29, 2023). In this paper, we extend these results further and establish the averaging formula to compute the Nielsen number of any
n
-valued affine map on an infra-nilmanifold. |
|---|---|
| ISSN: | 1678-7544 1678-7714 |
| DOI: | 10.1007/s00574-024-00417-4 |