Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 4 2 2023 03 01 On general $(\alpha,\beta)$-metrics with Cartan torsion, mean Cartan torsion and Landsberg curvature 105 112 4794 10.22060/ajmc.2022.21094.1077 EN Manoj Kumar Department of Mathematics and Statistics Faculty of Science, Dr. Rammanohar Lohia Avadh University, Ayodhya-224001, India Chayan Kumar Mishra Department of Mathematics and Statistics Faculty of Science, Dr. Rammanohar Lohia Avadh University, Ayodhya-224001, India Abhishek Singh Department of Mathematics and Statistics Faculty of Science, Dr. Rammanohar Lohia Avadh University, Ayodhya-224001, India 0009-0007-6784-7395 Achal Singh Department of Mathematics Institute of Applied Sciences and Humanities GLA University Mathura-281406, India Journal Article 2022 02 10 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. Finsler space Cartan torsion Landsberg curvature Mean Cartan torsion Weak Landsberg curvature https://ajmc.aut.ac.ir/article_4794_18a4e1366eb78af25ed5cfc306e8f873.pdf