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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 241

Volume : 18 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.15
Author :
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)

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 space, h-metrical d-connection, Cartan space, Conformal flatness, Slope metric.

A.M.S. subject classification

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

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