Periodic structure of the transversal maps on surfaces

Llibre, J.; Sirvent, VF

Keywords: Lefschetz numbers; Transversal maps; periodic point; surfaces

Abstract

In this article we study the set of periods of transversal maps on orientable and non-orientable compact surfaces without boundary. We provide sufficient conditions, in terms of the spectra of the induced maps on homology, in order that the map has infinitely many periods, in particular odd periods.

Más información

Título según SCOPUS: Periodic structure of the transversal maps on surfaces
Título de la Revista: Journal of Fixed Point Theory and Applications
Volumen: 23
Número: 4
Editorial: Birkhauser
Fecha de publicación: 2021
Idioma: English
DOI:

10.1007/s11784-021-00912-x

Notas: SCOPUS