论文标题
H-Matsumoto更改的cartan连接
Cartan Connection for h-Matsumoto change
论文作者
论文摘要
在本文中，我们研究了松本更改$ \ overline {l}（x，y）= \ frac {l^{2}（x，x，y）} {l（x，y） - β（x，y） - β（x，y）} $，带有\ textsl {h-} vectionsl {h-} vector {我们为这种转变提供了一些基本张量。我们还获得了两个空间的cartan连接系数$ f^{n} =（m^n，l）$和$ \ overline {f}^{\，n} =（m^{n}，\ overline {l}）$是相同的。
In the present paper, we have studied the Matsumoto change $\overline{L}(x,y)= \frac{L^{2}(x,y)}{L(x,y) - β(x,y)} $ with an \textsl{h-}vector $b_{i}(x,y)$. We have derived some fundamental tensors for this transformation. We have also obtained the necessary and sufficient condition for which the Cartan connection coefficients for both the spaces $F^{n}=(M^n,L)$ and $\overline{F}^{\,n}=(M^{n},\overline{L})$ are same.
