Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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DUALLY FLAT AND PROJECTIVELY FLAT FINSLER WARPED PRODUCT STRUCTURES

  • Xiaoling, Zhang (College of Mathematics and Systems Science Xinjiang University) ;
  • Xuesong, Zhang (College of Mathematics and Systems Science Xinjiang University) ;
  • Lili, Zhao (School of Mathematical Sciences Shanghai Jiao Tong University)
  • Received : 2021.10.18
  • Accepted : 2022.05.25
  • Published : 2022.11.30
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Abstract

In this paper, we study the Finsler warped product metric which is dually flat or projectively flat. The local structures of these metrics are completely determined. Some examples are presented.

Keywords

Acknowledgement

Authors would like to thank Professor Zhongmin Shen for his helpful discussion and the valuable comments.

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