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Finsler warped product metrics of Douglas type

  • Huaifu Liu,
    College of Applied Science, School of Mathematical Sciences, Peking University
  • Xiaohuan Mo,
    Key Laboratory of Pure and Applied Mathematics , School of Mathematical Sciences, Peking University , Beijing, 100871, China
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Abstract

In this paper, we study the warped structures of Finsler metrics. We obtain the differential equation that characterizes the Finsler warped product metrics with vanishing Douglas curvature. By solving this equation, we obtain all Finsler warped product Douglas metrics. Some new Douglas Finsler metrics of this type are produced by using known spherically symmetric Douglas metrics.
Keywords: Finsler metric, warped product, Douglas metric, spherically symmetric metric Finsler metric, warped product, Douglas metric, spherically symmetric metric
MSC Classifications: 22E46, 53C30 show english descriptions Semisimple Lie groups and their representations
Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15]
22E46 - Semisimple Lie groups and their representations
53C30 - Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15]
 

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