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ON SPECIAL FUNCTION CHANGE OF mth- ROOT FINSLER METRIC
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In the present paper, we consider the special function change of mth
−
root Finsler metric. Firstly, we find the fundamental metric and then the necessary
and sufficient condition under which the special function change of the mth
−root
Finsler metric is locally dually flat. Further, we prove that the special change
of mth
−root Finsler metric is locally projectively flat if and only if it is locally
Minkowskian.
Ramanujan Society of Mathematics and Mathematical Sciences
Title: ON SPECIAL FUNCTION CHANGE OF mth- ROOT FINSLER METRIC
Description:
In the present paper, we consider the special function change of mth
−
root Finsler metric.
Firstly, we find the fundamental metric and then the necessary
and sufficient condition under which the special function change of the mth
−root
Finsler metric is locally dually flat.
Further, we prove that the special change
of mth
−root Finsler metric is locally projectively flat if and only if it is locally
Minkowskian.
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