On Randers Change of Generalized $m$th Root Metric

Document Type : Original Article

Author

Manoj Kumar

DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi-221005, India.

10.22034/kjm.2018.75278

Abstract

In the present paper, we find a condition under which a Finsler space with Randers change of generalized $m$th root metric is projectively related to an $m$th root metric. Then we find a condition under which Randers change of generalized $m$th root Finsler metric is locally projectively flat and also find a condition for locally dually flatness.

Keywords

Finsler space

Randers change of generalized $m$th root metrics

projectively related metrics

locally projectively flat metric

locally dually flat metric

Subjects

• 53 Differential geometry

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