On generalized conformal Kropina transformation of m-th root metric

Singh, Achal; Kumar, Manoj; Kumar, Mukesh

doi:10.22060/ajmc.2025.24084.1360

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