• 제목/요약/키워드: Finsler space with $L={\alpha}+{\beta}^2/{\alpha}$

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Projective Change between Two Finsler Spaces with (α, β)- metric

  • Kampalappa, Narasimhamurthy Senajji;Mylarappa, Vasantha Dogehalli
    • Kyungpook Mathematical Journal
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    • 제52권1호
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    • pp.81-89
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    • 2012
  • In the present paper, we nd the conditions to characterize projective change between two (${\alpha}$, ${\beta}$)-metrics, such as Matsumoto metric $L=\frac{{\alpha}^2}{{\alpha}-{\beta}}$ and Randers metric $\bar{L}=\bar{\alpha}+\bar{\beta}$ on a manifold with dim $n$ > 2, where ${\alpha}$ and $\bar{\alpha}$ are two Riemannian metrics, ${\beta}$ and $\bar{\beta}$ are two non-zero 1-formas.