1.
An. acad. bras. ciênc
;
89(4): 2563-2579, Oct.-Dec. 2017. graf
Article
in English
| LILACS
| ID: biblio-886864
ABSTRACT
Abstract In this paper we study topological and analytical conditions on the orbits of a germ of diffeomorphism in the complex plane in order to obtain periodicity. In particular, we give a simple proof of a finiteness criteria for groups of analytic diffeomorphisms, stated in Brochero Martínez 2003. As an application, we derive some consequences about the integrability of complex vector fields in dimension three in a neighborhood of a singular point.