Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2020; 57(6): 1335-1349

Online first article September 28, 2020      Printed November 30, 2020

https://doi.org/10.4134/BKMS.b181086

Copyright © The Korean Mathematical Society.

Finsler metrics with reversible geodesics

Qiaoling Xia

Hangzhou Dianzi University

Abstract

In this paper, we give an equivalent characterization for general $(\alpha, \beta)$-metrics with reversible geodesics when the dimension of the manifold is greater than $2$.

Keywords: Finsler metric, general $(\alpha, \beta)$-metric, reversible geodesic

MSC numbers: Primary 53B40, 53C22, 58B20

Supported by: This author is supported by Zhejiang Provincial NSFC (No. LY19A010021) and NNSFC (No.11671352)