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Finsler Warped Product Metrics of Douglas Type

Published online by Cambridge University Press:  04 January 2019

Huaifu Liu
College of Applied Science, Beijing University of Technology, Beijing, 100124, China Email:
Xiaohuan Mo
Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871, China Email:


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.

© Canadian Mathematical Society 2018 

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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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