Department of mathematics and Computer Sciences, University of Bonab, Bonab, Iran
10.22034/jdgaa.2024.2020757.1003
Abstract
The theory of m-th root Finsler metrics is used in Ecology, Biology, Seismic ray theory, Gravitation, etc. It is introduced as a direct generalization of Riemannian metric, in other words, the second root metric is a Riemannian metric. On the other hand, the Riemannian curvature actually reveals the local geometric properties of a Riemann–Finsler metric. In this work, we investigate the class of 4-th root (α,β)-metrics. We prove that every weakly Landsberg 4-th root (α,β)-metrics has vanishing S-curvature. By employing it, we show that a 4-th root (α,β)-metric is a weakly Landsberg metric if and only if it is a Berwald metric.
Majidi,J. (2024). On a class of Weakly Landsberg 4-th root Finsler Metric. Journal of Differential Geometry, Applications and Aspects, 1(1), 18-23. doi: 10.22034/jdgaa.2024.2020757.1003
MLA
Majidi,J. . "On a class of Weakly Landsberg 4-th root Finsler Metric", Journal of Differential Geometry, Applications and Aspects, 1, 1, 2024, 18-23. doi: 10.22034/jdgaa.2024.2020757.1003
HARVARD
Majidi J. (2024). 'On a class of Weakly Landsberg 4-th root Finsler Metric', Journal of Differential Geometry, Applications and Aspects, 1(1), pp. 18-23. doi: 10.22034/jdgaa.2024.2020757.1003
CHICAGO
J. Majidi, "On a class of Weakly Landsberg 4-th root Finsler Metric," Journal of Differential Geometry, Applications and Aspects, 1 1 (2024): 18-23, doi: 10.22034/jdgaa.2024.2020757.1003
VANCOUVER
Majidi J. On a class of Weakly Landsberg 4-th root Finsler Metric. JDGAA, 2024; 1(1): 18-23. doi: 10.22034/jdgaa.2024.2020757.1003
Journal of Differential Geometry, Applications and Aspects