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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 226

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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