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arXiv · 2210.00866

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

Azar Fatahi·Masoumeh Hosseini·Hamid Reza Salimi Moghaddam
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Abstract

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.

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Azar Fatahi, Masoumeh Hosseini, Hamid Reza Salimi Moghaddam. 2022-09-28. Conformally related invariant $(\alpha,\beta)$-metrics on homogeneous spaces. https://doi.org/10.2989/16073606.2024.2328352

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