Translator Disclaimer
June 2009 Homotopy minimal periods of holomorphic maps on surfaces
Jaume Llibre, Wacław Marzantowicz
Funct. Approx. Comment. Math. 40(2): 309-326 (June 2009). DOI: 10.7169/facm/1246454033

Abstract

In this paper we study the minimal periods on a holomorphic map which are preserved by any of its deformation considering separately the case of continuous and holomorphic homotopy. A complete description of the set of such minimal periods for holomorphic self-map of a compact Riemann surface is given. It shows that a nature of answer depends on the geometry of the surface distinguishing the parabolic case of the Riemann sphere, elliptic case of tori and the hyperbolic case of a surface of genus $\geq 2$.

Citation

Download Citation

Jaume Llibre. Wacław Marzantowicz. "Homotopy minimal periods of holomorphic maps on surfaces." Funct. Approx. Comment. Math. 40 (2) 309 - 326, June 2009. https://doi.org/10.7169/facm/1246454033

Information

Published: June 2009
First available in Project Euclid: 1 July 2009

zbMATH: 1182.55003
MathSciNet: MR2543560
Digital Object Identifier: 10.7169/facm/1246454033

Subjects:
Primary: ‎55M20
Secondary: 57N05, 57N10

Rights: Copyright © 2009 Adam Mickiewicz University

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.40 • No. 2 • June 2009
Back to Top