CARTAN SPACES WITH SLOPE METRIC UNDER $h$-METRICAL $d$-CONNECTION

Madeeha Muneer; Avdhesh Kumar; A. K. Shrivastav

doi:https://doi.org/10.56827/SEAJMMS.2022.1803.15

Madeeha Muneer Department of Mathematics, RIMT University, Fatehgarh Sahib, Punjab, INDIA

Avdhesh Kumar Department of Mathematics, RIMT University, Fatehgarh Sahib, Punjab, INDIA

A. K. Shrivastav Department of Mathematics, Jaglal Chaudhary College, Saran, Bihar, INDIA

Volume 18, Issue 3 Pages 179-192 December 30, 2022 428 downloads

Article overview

Abstract

This paper studies Cartan space with Matsumoto metric or slope metric under the effect of h-metrical d-connection. Then we deduce the conditions under which the Cartan space with slope metric becomes locally Minkowski and conformally flat.

Keywords and Phrases

Finsler spaceh-metrical d-connectionCartan spaceConformal flatnessSlope metric.

AMS Subject Classification

53C60, 53B40, 53C42, 53A04.

Reference information

How to Cite

Madeeha Muneer, Avdhesh Kumar, A. K. Shrivastav (2022). CARTAN SPACES WITH SLOPE METRIC UNDER $h$-METRICAL $d$-CONNECTION. South East Asian Journal of Mathematics and Mathematical Sciences, 18(3), 179-192.

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