| Revue: | Boletim da Sociedade Paranaense de Matematica |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000394632 |
| ISSN: | 0037-8712 |
| Autores: | Albuquerque, Rui1 Consiglieri, Luisa2 |
| Instituciones: | 1Universidade de Evora, Centro de Investigacao em Matematica e Aplicacoes, Evora. Portugal 2Universidade de Lisboa, Faculdade de Ciencias, Lisboa. Portugal |
| Año: | 2009 |
| Volumen: | 27 |
| Número: | 1 |
| Paginación: | 65-83 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico |
| Resumen en inglés | We recall and solve the equivalence problem for a flat C1 connection ∇ in Euclidean space, with methods from the theory of differential equations. The problem consists in finding an affine transformation of Rn taking ∇ to the so called trivial connection. Generalized solutions are found in dimension 1 and some example problems are solved in dimension 2, mainly dealing with flat connections. A description of invariant connections in the plane is attempted, in view the study of real orbifolds. Complex meromorphic connections are shown in the cone cL(p, q) of a lens-space |
| Disciplinas: | Matemáticas |
| Palabras clave: | Matemáticas puras, Geometría diferencial, Orbivariedades, Variedades, Grupos de Lie, Análisis no lineal, Análisis funcional |
| Keyword: | Mathematics, Pure mathematics, Differential geometry, Orbifolds, Manifolds, Lie groups, Nonlinear analysis, Functional analysis |
| Texte intégral: | Texto completo (Ver PDF) |
