Métricas de Randers Localmente Dualmente Flat
We will study the Finsler metric, on a manifold M, defined as the sum of a Riemannian metric and a 1-form, they are known as Randers metric. We will classify those that are locally dually flat, that is, for all point exists a coordinate system in which the equation of the geodesic has a special form...
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| Format: | Master's thesis |
| Status: | Published version |
| Publication date: | 2010 |
| Country: | Brasil |
| Institution: | UFG |
| Repository: | Repositório Institucional da UFG |
| Language: | Portuguese |
| OAI Identifier: | oai:repositorio.bc.ufg.br:tde/1968 |
| Online Access: | http://repositorio.bc.ufg.br/tede/handle/tde/1968 |
| Access Level: | Open access |
| Keyword: | Métricas de Finsler, Métricas de Randers localmente dualmente flat, Métricas de Randers localmente projetivamente flat, Curvatura flag Finsler Metric, Locally Dually Flat Randers Metric, Locally Projectively Flat Randers Metric, Flag Curvature CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA |
| Summary: | We will study the Finsler metric, on a manifold M, defined as the sum of a Riemannian metric and a 1-form, they are known as Randers metric. We will classify those that are locally dually flat, that is, for all point exists a coordinate system in which the equation of the geodesic has a special form, the coefficients of spray is given in terms of the metric one and a local scalar function, we will also characterize the Randers metric that is locally dually flat with almost isotropic flag curvature |
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