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New Randers metrics defined by the other Randers metrics by Fatahi, Azar; Hosseini, Masoumeh; Moghaddam, Hamid Reza Salimi is a scholarly article available to read on EtoBox.

What is New Randers metrics defined by the other Randers metrics about?

In this short article, using a left-invariant Randers metric $F$, we define a new left-invariant Randers metric $\tilde{F}$. We show that $F$ is of Berwald (Douglas) type if and only if $\tilde{F}$ 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.

Author

Fatahi, Azar; Hosseini, Masoumeh; Moghaddam, Hamid Reza Salimi

Published

2024

Language

EN