Conformally related invariant $(\alpha,\beta)$-metrics on homogeneous spaces

Autor: Fatahi, Azar, Hosseini, Masoumeh, Moghaddam, Hamid Reza Salimi
Rok vydání: 2022
Předmět:
Zdroj: Quaestiones Mathematicae (2024)
Druh dokumentu: Working Paper
DOI: 10.2989/16073606.2024.2328352
Popis: In this paper, we give the flag curvature formula of general $(\alpha,\beta)$-metrics of Berwald type. We study conformally related $(\alpha,\beta)$-metrics, especially general $(\alpha,\beta)$-metrics that are conformally related to invariant $(\alpha,\beta)$-metrics. Also, a necessary and sufficient condition for a Finsler metric conformally related to an $(\alpha,\beta)$-metric is given, and conformally related Douglas Randers metrics are studied. Finally, we present some examples of conformally related $(\alpha,\beta)$-metrics.
Databáze: arXiv