On conformal transformation of $\Xi$-curvature

Panahi, Narges; Rezaei, Bahman; Tayebi, Akbar

doi:10.22060/ajmc.2023.22827.1196

On conformal transformation of $\Xi$-curvature

Document Type : Original Article

Authors

Narges Panahi ¹
Bahman Rezaei ²
Akbar Tayebi ³

¹ Department of Mathematics, Faculty of Science, Urmia University , Urmia, Iran

² Faculty of Science, Urmia University, Urmia, Iran

³ Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran

10.22060/ajmc.2023.22827.1196

Abstract

In this paper, we study the conformal transformation of recent defined non-Riemannian curvature in Finsler Geometry, namely $\Xi$-curvature. Indeed, we obtain the necessary and sufficient condition under which the conformal transformation preserves the $\Xi$-curvature.

Keywords