摘要
研究了局部对偶平坦的Finsler度量,综合局部射影平坦,局部对偶平坦的性质,得到一个Finsler度量是局部对偶平坦且局部射影平坦的三个充要条件,并将其应用到(α,β)-度量,从而得到(α,β)-度量是局部对偶平坦且局部射影平坦的充要条件。
This paper studies the Finsler metrics of local dual flat and the qualities of local dual flat and comprehensive local projective flat.We obtain three sufficient and necessary conditions of the dual flat and projective flat metrics,which are used to the(α,β)-metrics and they are sufficient and necessary conditions of the local dual flat and local projective flat metrics.
出处
《贵阳学院学报（自然科学版）》
2009年第1期9-11,共3页
Journal of Guiyang University：Natural Sciences
