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.