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The norm of Cartan torsion plays an important role for studying of immersiontheory in Finsler geometry. Indeed, Finsler manifold with unbounded Cartantorsion can not be isometrically imbedded into any Minkowski space. In thispaper, we find two subclasses of (?, ?)-metrics which have bounded Cartantorsion. Then, we give two subclasses of (?, ?)-metrics whose bound on theCartan torsions are independent of the norm of ?.

Finsler Metrics with Bounded Cartan Torsions