On general (α, β)-metrics with Cartan torsion, mean Cartan torsion and Landsberg curvature

Document Type : Original Article

Authors

1 Department of Mathematics Dr Rammanohar Lohia Avadh University, Ayodhya-224001, UP, India

2 Department of Mathematics and Statistics Faculty of Science, Dr. Ram Manohar Lohia Awadh University, Ayodhya-224001, India.

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

Abstract

In this paper, we derive a formula for the (mean) Cartan torsion of a class of general (α, β)-metrics. Also, we study weak Landsberg general (α, β)-metrics under a certain condition.

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