Construction of new left-invariant Randers metrics on Lie groups

Document Type : Original Article

Authors

Department of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, 81746-73441-Iran.

Abstract

In this short article, using a left-invariant Randers metric F on a real Lie group G, we define a new left-invariant Randers metric  F∼. We show that F is of Berwald (Douglas) type if and only if F∼ is of Berwald (Douglas) type. In the case of Berwaldian metrics, we give the relation between their flag curvatures. Also, we have studied the relations between their base Riemannian metrics. Finally, as examples, the results are studied in the Heisenberg group and almost Abelian Lie groups.

Keywords

References

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Journal of Finsler Geometry and its Applications
Volume 7, Issue 2
December 2026
Pages 137-149

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