一类由欧氏度量和1形式定义的对偶平坦Finsler度量

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.%We defined a class of Finsler metrics w hich 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 .