Turkish Journal of MathematicsOn Cartan Spaces with (a, b)-metric
Department Of Mathematics, Central College,
Bangalore University, Bangalore-560 001, Karnataka-INDIA
Abstract: É. Cartan  has originally introduced a Cartan space, which is considered as dual of Finsler space. H. Rund , F. Brickell  and others studied the relation between these two spaces. The theory of Hamilton spaces was introduced and studied by R. Miron ([8|, ). He proved that Cartan space is a particular case of Hamilton space. T. Igrashi (, ) introduced the notion of the (a, b)-metric in Cartan spaces and obtained the metric tensor and the invariants r and r which characterize the special classes of Cartan spaces with (a, b)-metric. This paper presents a study of Cartan spaces with (a, b)-metric admitting h-metrical d-connection. We prove the conditions for these spaces to be locally Minkowski and conformally flat.
Key Words: Cartan space, (a,b)-metric, h-metrical d-connection, Conformally flat
Turk. J. Math., 31, (2007), 363-369.
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Other articles published in the same issue: Turk. J. Math.,vol.31,iss.4.