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ON GENERAL RELATIVELY ISOTROPIC MEAN LANDSBERG METRICS

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The general relatively isotropic mean Landsberg metrics contain the general relatively isotropic Landsberg metrics. A class of Finsler metrics is given, in which the mentioned two concepts are equivalent. In this paper, an interpretation of general relatively isotropic mean Landsberg metrics is found by using C-conformal transformations. Some necessary conditions for a general relatively isotropic mean Landsberg metric, as well as generalized Landsberg metric to be a Riemannian metric are also found.

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