Construção explícita de métricas de Einstein-Finsler com curvatura flag não constante
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Data
2015-02-20
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Universidade Federal de Goiás
Resumo
In this dissertation we will study Finsler Geometry. In particular, we will study Randers
Geometry that which can be viewed as Riemannian Geometry with a pertubation. Furthermore
Randers metrics are also obtained as solution to Zermelo’s Navigation Problem.
We will also use classification theorems of Randers metrics of constant flag curvature
and Einstein Randers metrics in terms of Zermelo’s Navigation Problem. Using Randers
metrics we are going to construct a 3-parameter family of Einstein-Finsler metrics with
non-constant flag curvature and to get such family we use a Killing vector field and a
Riemannian metric which is the Hawking Taub-NUT metric.
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Citação
SILVA, C. A. F. Construção explícita de métricas de Einstein-Finsler com curvatura flag não constante. 2015. 55 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânua, 2015.