New Randers metrics defined by the other Randers metrics

Autor:	Fatahi, Azar, Hosseini, Masoumeh, Moghaddam, Hamid Reza Salimi
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry 53C30 53C60 53C25 22E60
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.21044 Zobrazit plný text záznamu View this record from Arxiv