Journal of Jilin University Science Edition

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A Class of Dually Flat Finsler Metrics Defined by Euclidean Metric and 1Forms

GUI Ranran, LIU Feng, SONG Weidong   

  1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China
  • Received:2017-01-03 Online:2018-01-26 Published:2018-01-24
  • Contact: SONG Weidong E-mail:swd56@sina.com

Abstract: We defined a class of Finsler metrics which could be expressed by a Euclidean metrics and two 1forms. By using dually flat equations, we obtained the equivalent condition for those Finsler metrics to be dually flat, and obtained a solution satisfying the dually flat equivalent condition.

Key words: 1form, dually flat, Euclidean metric, Finsler metric

CLC Number: 

  • O186.12