ON CONFORMAL-MATSUMOTO CHANGE OF m-TH ROOT FINSLER METRICS

Manish K. Gupta, Abha Sahu, Akbar Tayebi

DOI Number
https://doi.org/10.22190/FUMI230830057G
First page
895
Last page
903

Abstract


In this paper, we have considered conformal-Matsumoto change of the class of m-th root Finsler metrics. We have established the necessary and sufficient condition for the transformed metric to be projectively flat or locally dually flat. Further, we have proved the non-existence of the concerned metric which is projectively flat with non-zero flag curvature.

Keywords

Locally dually flat metric, projectively flat metric, Matsumoto change, conformal change, projective change, $m$-th root metric.

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References


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DOI: https://doi.org/10.22190/FUMI230830057G

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