AUT Journal of Mathematics and Computing

AUT Journal of Mathematics and Computing

On the Liouville transformation of Randers metrics

Articles in Press

Document Type : Original Article

Authors
Akbar Tayebi
Marzeia Amini
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
10.22060/ajmc.2025.24114.1367
Abstract
In this paper, we prove that every Liouville transformation of a locally Minkowskian Randers metric must be a homothety. This gives a natural extension of the Kuhnel-Rademacher's theorem which proved the homothety of Liouville transformation for semi-Riemannian metrics.
Keywords
Liouville transformation
Ricci curvature
Randers metric
Subjects
AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 20 January 2026