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

نویسندگان
Kumar, Manoj ID 1
Mishra, Chayan Kumar ID 2
Singh, Abhishek ID 3
Singh, Achal ID 4

1 Department of Mathematics and Statistics Faculty of Science, Dr. Rammanohar Lohia Avadh University, Ayodhya-224001, India

2 Department of Mathematics and Statistics Faculty of Science, Dr. Rammanohar Lohia Avadh University, Ayodhya-224001, India

3 Department of Mathematics and Statistics Faculty of Science, Dr. Rammanohar Lohia Avadh University, Ayodhya-224001, India

4 Department of Mathematics Institute of Applied Sciences and Humanities GLA University Mathura-281406, India

doi
10.22060/ajmc.2022.21094.1077
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