On the Liouville transformation of Randers metrics

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Document Type : Original Article

Authors

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

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.

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AUT Journal of Mathematics and Computing

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

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