Cartan Connection for h-Matsumoto change

M. K. Gupta; Abha Sahu; Suman Sharma

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arXiv · 2204.07298

Cartan Connection for h-Matsumoto change

M. K. Gupta·Abha Sahu·Suman Sharma

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Abstract

In the present paper, we have studied the Matsumoto change $\overline{L}(x,y)= \frac{L^{2}(x,y)}{L(x,y) - \beta(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.

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BibTeX RIS

M. K. Gupta, Abha Sahu, Suman Sharma. 2022-04-15. Cartan Connection for h-Matsumoto change. https://arxiv.org/abs/2204.07298

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