In this paper, we study the projective vector fields on two special (α,β)-metrics, namely Kropina and Matsumoto metrics. First, we consider the Kropina metrics, and show that if a Kropina metric F = α2/β admits a projective vector field, then this is a conformal vector field with respect to Riemannian metric a or F has vanishing S-curvature. Then we study the Matsumoto metric F = α2/(α−β) and prove that if the Matsumoto metric F = α2/β admits a projective vector field, then this is a conformal vector field with respect to Riemannian metric a or F has vanishing S-curvature.
Masoumi, S. (2020). Projective vector fields on special (α,β)-metrics. Journal of Finsler Geometry and its Applications, 1(2), 83-93. doi: 10.22098/jfga.2020.1242
MLA
Saeedeh Masoumi. "Projective vector fields on special (α,β)-metrics". Journal of Finsler Geometry and its Applications, 1, 2, 2020, 83-93. doi: 10.22098/jfga.2020.1242
HARVARD
Masoumi, S. (2020). 'Projective vector fields on special (α,β)-metrics', Journal of Finsler Geometry and its Applications, 1(2), pp. 83-93. doi: 10.22098/jfga.2020.1242
VANCOUVER
Masoumi, S. Projective vector fields on special (α,β)-metrics. Journal of Finsler Geometry and its Applications, 2020; 1(2): 83-93. doi: 10.22098/jfga.2020.1242
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