Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2022; 59(6): 1359-1370

Online first article November 14, 2022      Printed November 30, 2022

https://doi.org/10.4134/BKMS.b210760

Copyright © The Korean Mathematical Society.

Dually flat and projectively flat Finsler warped product structures

Xiaoling Zhang, Xuesong Zhang, Lili Zhao

Xinjiang University; Xinjiang University; Shanghai Jiao Tong University

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: Finsler warped product metric, dually flat, projectively flat

MSC numbers: 53C30, 53C60

Supported by: This work was supported by National Natural Science Foundation of China (No. 11961061,11461064,12071283).