| Journal: | Anais da Academia Brasileira de Ciencias |
| Database: | PERIÓDICA |
| System number: | 000417588 |
| ISSN: | 0001-3765 |
| Authors: | Camara, Leonardo M1 Scardua, Bruno A2 |
| Institutions: | 1Universidade Federal do Espirito Santo, Centro de Ciencias Exatas, Vitoria, Espirito Santo. Brasil 2Universidade Federal do Rio de Janeiro, Instituto de Matematica, Rio de Janeiro. Brasil |
| Year: | 2017 |
| Season: | Dic |
| Volumen: | 89 |
| Number: | 4 |
| Pages: | 2563-2580 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental |
| English 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 |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Difeomorfismos, Foliaciones holomórficas, Campos vectoriales, Integrabilidad, Orbitas cerradas |
| Keyword: | Pure mathematics, Diffeomorphisms, Holomorphic foliations, Vector fields, Integrability, Closed orbits |
| Full text: | Texto completo (Ver HTML) |
