On general $(\alpha,\beta)$-metrics with Cartan torsion, mean Cartan torsion and Landsberg curvature

	On general $(\alpha,\beta)$-metrics with Cartan torsion, mean Cartan torsion and Landsberg curvature
AUT Journal of Mathematics and Computing
مقاله 1، دوره 4، شماره 2، 2023، صفحه 105-112 اصل مقاله (365.94 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2022.21094.1077
نویسندگان
Manoj Kumar^* ¹؛ Chayan Kumar Mishra¹؛ Abhishek Singh¹؛ Achal Singh²
¹Department of Mathematics and Statistics Faculty of Science, Dr. Rammanohar Lohia Avadh University, Ayodhya-224001, India
²Department of Mathematics Institute of Applied Sciences and Humanities GLA University Mathura-281406, India
چکیده
In this paper, we derive a formula for the (mean) Cartan torsion of a class of general $(\alpha,\beta)$-metrics. Also, we study weak Landsberg general $(\alpha,\beta)$-metrics under a certain condition.
کلیدواژه‌ها
Finsler space؛ Cartan torsion؛ Landsberg curvature؛ Mean Cartan torsion؛ Weak Landsberg curvature
مراجع

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