Department of mathematics and Computer Sciences, University of Bonab, Bonab, Iran
10.22034/jdgaa.2024.2020757.1003
چکیده
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,Jila . (1402). On a class of Weakly Landsberg 4-th root Finsler Metric. مجله هندسه دیفرانسیل، کاربردها و جنبهها, 1(1), 18-23. doi: 10.22034/jdgaa.2024.2020757.1003
MLA
Majidi,Jila . "On a class of Weakly Landsberg 4-th root Finsler Metric", مجله هندسه دیفرانسیل، کاربردها و جنبهها, 1, 1, 1402, 18-23. doi: 10.22034/jdgaa.2024.2020757.1003
HARVARD
Majidi Jila. (1402). 'On a class of Weakly Landsberg 4-th root Finsler Metric', مجله هندسه دیفرانسیل، کاربردها و جنبهها, 1(1), pp. 18-23. doi: 10.22034/jdgaa.2024.2020757.1003
CHICAGO
Jila Majidi, "On a class of Weakly Landsberg 4-th root Finsler Metric," مجله هندسه دیفرانسیل، کاربردها و جنبهها, 1 1 (1402): 18-23, doi: 10.22034/jdgaa.2024.2020757.1003
VANCOUVER
Majidi Jila. On a class of Weakly Landsberg 4-th root Finsler Metric. JDGAA, 1402; 1(1): 18-23. doi: 10.22034/jdgaa.2024.2020757.1003
مجله هندسه دیفرانسیل، کاربردها و جنبهها