In this paper, we study a special class of Finsler metrics F = F(x, y) in Rn that satisfy F(−x, y) = F(x, y). We show the induced distance function of F satisfies dF (p, q) = dF (−q,−p) for all p, q in Rn. The geodesics of these metrics have special property and many well-known Finsler metrics belong to this class. We prove that these metrics with constant S-curvature satisfy S = 0.
Sadeghi, H. (2020). A special class of Finsler metrics. Journal of Finsler Geometry and its Applications, 1(1), 60-65. doi: 10.22098/jfga.2020.1011
MLA
Hassan Sadeghi. "A special class of Finsler metrics". Journal of Finsler Geometry and its Applications, 1, 1, 2020, 60-65. doi: 10.22098/jfga.2020.1011
HARVARD
Sadeghi, H. (2020). 'A special class of Finsler metrics', Journal of Finsler Geometry and its Applications, 1(1), pp. 60-65. doi: 10.22098/jfga.2020.1011
VANCOUVER
Sadeghi, H. A special class of Finsler metrics. Journal of Finsler Geometry and its Applications, 2020; 1(1): 60-65. doi: 10.22098/jfga.2020.1011
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