Métricas de Randers Localmente Dualmente Flat
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Data
2010-02-26
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Universidade Federal de Goiás
Resumo
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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FERNANDES, Karoline Victor. Locally Dually Flat Randers Metric. 2010. 104 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2010.