Abstract
© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. In this article, we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular, we give sufficient conditions in order that such maps have infinitely many even and odd periods. Moreover, we also provide sufficient conditions for having non-zero Lefschetz numbers of period m for infinitely many m's. We extend these results to transversal maps on rational exterior spaces of rank 1.
Original language | English |
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Pages (from-to) | 619-629 |
Journal | Journal of Difference Equations and Applications |
Volume | 25 |
DOIs | |
Publication status | Published - 4 May 2019 |
Keywords
- Lefschetz numbers
- Transversal maps
- periodic point
- product of spheres