Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University
10.22060/ajmc.2025.24736.1459
Abstract
This paper considers exponential (α,β)-metrics with a conformally flat structure that have weakly isotropic scalar curvature. It proves that such metrics necessarily reduce to Riemannian or locally Minkowski metrics, in which case the scalar curvature vanishes. Similar results are presented for two specific β-change of exponential (α,β)-metrics: the Kropina change and the generalized Randers change. Consequently, we provide a classification of these (α,β)-metrics.
Zohrehvand,M . (2026). On the Transformed Exponential (α,β)-Metrics with Conformally Flat Structure and Weakly Isotropic Scalar Curvature. (e6187). AUT Journal of Mathematics and Computing, (), e6187 doi: 10.22060/ajmc.2025.24736.1459
MLA
Zohrehvand,M . "On the Transformed Exponential (α,β)-Metrics with Conformally Flat Structure and Weakly Isotropic Scalar Curvature" .e6187 , AUT Journal of Mathematics and Computing, , , 2026, e6187. doi: 10.22060/ajmc.2025.24736.1459
HARVARD
Zohrehvand M. (2026). 'On the Transformed Exponential (α,β)-Metrics with Conformally Flat Structure and Weakly Isotropic Scalar Curvature', AUT Journal of Mathematics and Computing, (), e6187. doi: 10.22060/ajmc.2025.24736.1459
CHICAGO
M Zohrehvand, "On the Transformed Exponential (α,β)-Metrics with Conformally Flat Structure and Weakly Isotropic Scalar Curvature," AUT Journal of Mathematics and Computing, (2026): e6187, doi: 10.22060/ajmc.2025.24736.1459
VANCOUVER
Zohrehvand M. On the Transformed Exponential (α,β)-Metrics with Conformally Flat Structure and Weakly Isotropic Scalar Curvature. AUT J Math Comput. 2026;():e6187. doi: 10.22060/ajmc.2025.24736.1459
