| Revista: | Anais da Academia Brasileira de Ciencias |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000417588 |
| ISSN: | 0001-3765 |
| Autors: | Camara, Leonardo M1 Scardua, Bruno A2 |
| Institucions: | 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 |
| Any: | 2017 |
| Període: | Dic |
| Volum: | 89 |
| Número: | 4 |
| Paginació: | 2563-2580 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Experimental |
| Resumen en inglés | 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 |
| Paraules clau: | Matemáticas puras, Difeomorfismos, Foliaciones holomórficas, Campos vectoriales, Integrabilidad, Orbitas cerradas |
| Keyword: | Pure mathematics, Diffeomorphisms, Holomorphic foliations, Vector fields, Integrability, Closed orbits |
| Text complet: | Texto completo (Ver HTML) |
