Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 33, No. 2, pp. 255-264 (2017)

On the Matsumoto change of a Finsler space with mth-root metric

Gauree Shanker, Ruchi Kaushik Sharma and R.D.S. Kushwaha

Central University of Panjab and Banasthali University

Abstract: In the present paper, we find a condition under which a Finsler space with Matsumoto change of mth-root metric is projectively related to a mth-root metric and also we find a condition under which this Matsumoto transformed mth-root Finsler metric is locally dually flat and projectively flat.

Keywords: Finsler space, Matsumoto metric, mth-root metrics, projectively related metrics, locally dually flat and projectively flat metric

Classification (MSC2000): 53B40

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