一类由欧氏度量和1形式定义的对偶平坦Finsler度量

吉林大学学报(理学版)

一类由欧氏度量和1形式定义的对偶平坦Finsler度量

桂然然, 刘凤, 宋卫东

安徽师范大学数学计算机科学学院, 安徽芜湖 241003

收稿日期:2017-01-03 出版日期:2018-01-26 发布日期:2018-01-24
通讯作者: 宋卫东 E-mail:swd56@sina.com

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

GUI Ranran, LIU Feng, SONG Weidong

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

摘要/Abstract

摘要： 通过定义一类由欧氏度量和两个1形式构成的Finsler度量, 利用对偶平坦方程得到了该类Finsler度量是对偶平坦的等价条件, 并得到了一个满足该对偶平坦等价条件的解.

关键词: 欧氏度量, 1形式, 对偶平坦, Finsler度量

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

中图分类号:

O186.12

桂然然, 刘凤, 宋卫东. 一类由欧氏度量和1形式定义的对偶平坦Finsler度量[J]. 吉林大学学报(理学版), 2018, 56(1): 65-70.

GUI Ranran, LIU Feng, SONG Weidong. A Class of Dually Flat Finsler Metrics Defined by Euclidean Metric and 1Forms[J]. Journal of Jilin University Science Edition, 2018, 56(1): 65-70.