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

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 23

Volume : 12 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2024.1201.9
Author :
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)

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 metric, projectively flat metric, $m^{th}-$ root metric, Special function change, fundamental metric tensor.

A.M.S. subject classification

53B40, 53C60.

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