ON SPECIAL FUNCTION CHANGE OF $m^{th}$- ROOT FINSLER METRIC

S. K. Tiwari; Swati Srivastava; C.P. Maurya

doi:https://doi.org/10.56827/JRSMMS.2024.1201.9

S. K. Tiwari Department of Mathematics, K. S. Saket P. G. College, Dr. Ram Manohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA

Swati Srivastava Department of Mathematics, K. S. Saket P. G. College, Dr. Ram Manohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA

C.P. Maurya Adarsh Inter College Basti, Uttar Pradesh, INDIA

Volume 12, Issue 1 Pages 111-120 December 30, 2024 170 downloads

Article overview

Abstract

In the present paper, we consider the special function change of $m^{th}-$ root Finsler metric. Firstly, we find the fundamental metric and then the necessary and sufficient condition under which the special function change of the $m^{th}-$ root Finsler metric is locally dually flat. Further, we prove that the special change of $m^{th}-$ root Finsler metric is locally projectively flat if and only if it is locally Minkowskian.

Keywords and Phrases

Locally dually flat metricprojectively flat metric$m^{th}-$ root metricSpecial function changefundamental metric tensor.

AMS Subject Classification

53B40, 53C60.

Reference information

How to Cite

S. K. Tiwari, Swati Srivastava, C.P. Maurya (2024). ON SPECIAL FUNCTION CHANGE OF $m^{th}$- ROOT FINSLER METRIC. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 12(1), 111-120.

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