Revue: | Anais da Academia Brasileira de Ciencias |
Base de datos: | PERIÓDICA |
Número de sistema: | 000417588 |
ISSN: | 0001-3765 |
Autores: | Camara, Leonardo M1 Scardua, Bruno A2 |
Instituciones: | 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 |
Año: | 2017 |
Periodo: | Dic |
Volumen: | 89 |
Número: | 4 |
Paginación: | 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 |
Disciplinas: | Matemáticas |
Palabras clave: | Matemáticas puras, Difeomorfismos, Foliaciones holomórficas, Campos vectoriales, Integrabilidad, Orbitas cerradas |
Keyword: | Pure mathematics, Diffeomorphisms, Holomorphic foliations, Vector fields, Integrability, Closed orbits |
Texte intégral: | Texto completo (Ver HTML) |