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一类由欧氏度量和1形式定义的对偶平坦Finsler度量
A Class of Dually Flat Finsler Metrics Defined by Euclidean Metric and 1-Forms
【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.
【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.
【关键词】 Finsler度量;
对偶平坦;
欧氏度量;
1形式;
【Key words】 Finsler metric; dually flat; Euclidean metric; 1-form;
【Key words】 Finsler metric; dually flat; Euclidean metric; 1-form;
【基金】 安徽省自然科学基金(批准号:1608085MA03)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2018年01期
- 【分类号】O186.12
- 【下载频次】30