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Finsler Warped Product Metrics of Douglas Type

Part of: Lie groups Global differential geometry

Published online by Cambridge University Press:  04 January 2019

Huaifu Liu  and
Xiaohuan Mo
Huaifu Liu
Affiliation:
College of Applied Science, Beijing University of Technology, Beijing, 100124, China Email: liuhf@bjut.edu.cn
Xiaohuan Mo
Affiliation:
Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871, China Email: moxh@pku.edu.cn
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Abstract

In this paper, we study the warped structures of Finsler metrics. We obtain the differential equation that characterizes 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 metricwarped productDouglas metricspherically symmetric metric

MSC classification

Primary: 22E46: Semisimple Lie groups and their representations
Secondary: 53C30: Homogeneous manifolds
Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 1 , March 2019 , pp. 119 - 130
Copyright
© Canadian Mathematical Society 2018 

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Footnotes

This work is supported by BNSF(1164009), Beijing Postdoctoral Research Foundation and the National Natural Science Foundation of China 11371032 and 11771020. The second author (Xiaohuan Mo) is the corresponding author.

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