| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000394632 |
| ISSN: | 0037-8712 |
| Authors: | Albuquerque, Rui1 Consiglieri, Luisa2 |
| Institutions: | 1Universidade de Evora, Centro de Investigacao em Matematica e Aplicacoes, Evora. Portugal 2Universidade de Lisboa, Faculdade de Ciencias, Lisboa. Portugal |
| Year: | 2009 |
| Volumen: | 27 |
| Number: | 1 |
| Pages: | 65-83 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | 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 |
| Disciplines: | Matemáticas |
| Keyword: | 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 |
| Full text: | Texto completo (Ver PDF) |
