The Journal of the Indian Mathematical Society

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On Conformal Kropina Transformation of m-TH Root Metrics


Affiliations
1 Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura - 281406, India
2 Department of Mathematics and Statistics, Dr. Ram Manohar Lohiya Awadh University, Faizabad - 224201, India
     

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In this paper, we consider conformal Kropina transformation of m-th ischolar_main metric and for this find Fundamental metric tensors and Spray coefficients. Moreover, condition for locally projectively flat on conformal Kropina transformation of m-th ischolar_main metric has been found.

Keywords

Finsler space, conformal transformation, Kropina metrics, m-th ischolar_main metrics, locally projectively flat
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  • On Conformal Kropina Transformation of m-TH Root Metrics

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Authors

Manoj Kumar
Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura - 281406, India
C. K. Mishra
Department of Mathematics and Statistics, Dr. Ram Manohar Lohiya Awadh University, Faizabad - 224201, India

Abstract


In this paper, we consider conformal Kropina transformation of m-th ischolar_main metric and for this find Fundamental metric tensors and Spray coefficients. Moreover, condition for locally projectively flat on conformal Kropina transformation of m-th ischolar_main metric has been found.

Keywords


Finsler space, conformal transformation, Kropina metrics, m-th ischolar_main metrics, locally projectively flat

References





DOI: https://doi.org/10.18311/jims%2F2021%2F26632