Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 18 (2023), 1 -- 11

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This work is licensed under a Creative Commons Attribution 4.0 International License.

ON WEAKLY BERWALD SPACE WITH A SPECIAL CUBIC (α,β)-METRIC

Brijesh Kumar Tripathi and Sadika Khan

Abstract. In 1997, S. Basco and M. Matsumoto introduced the concepts of Douglas spaces with a generalization of the notion of Berwald spaces. Weakly-Berwald space is one of the generalizations of Berwald spaces. In the present paper, we considered a cubic (α,β)-metric which is a special class of p-power Finsler metric and obtained the conditions under which the Finsler space with such special metric will be a Weakly-Berwald space.

2020 Mathematics Subject Classification: 53C60;53B40.
Keywords: Finsler space, (α,β)-metric, Weakly Berwald space, Berwald space, cubic (α,β)-metric.

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Brijesh Kumar Tripathi
Department of Mathematics, L.D. College of Engineering Ahmedabad,
Gujarat, 380015, India.
E-mail: brijeshkumartripathi4@gmail.com

Sadika Khan
Research Scholar, Science_Mathematics Branch, Gujarat Technological University, Ahmedabad
Gujarat, 382424, India.
E-mail: sadikakhan013@gmail.com

https://www.utgjiu.ro/math/sma