AUT Journal of Mathematics and Computing

AUT Journal of Mathematics and Computing

On generalized conformal Kropina transformation of m-th root metric

Articles in Press

Document Type : Original Article

Authors
Achal Singh 1
Manoj Kumar 2
Mukesh Kumar 1
1 Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University Mathura-281406, India
2 Department of Mathematics Dr Rammanohar Lohia Avadh University, Ayodhya-224001, UP, India
10.22060/ajmc.2025.24084.1360
Abstract
In this paper, we consider the generalized the conformal Kropina transformation with m-th root metric and find that if generalized conformal Kropina change is Einstein metric, then this comes out to be Ricci flat. Besides, if generalized conformal Kropina transformation of m-th root metric is weak Einstein metric, then this comes out to be Ricci flat.
Keywords
Kropina metric
Finsler metric
m-th root metric
conformal transformation
Einstein- metric
Subjects
AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 28 June 2026