Conformally related invariant $(α,β)$-metrics on homogeneous spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929462002581504 |
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| author | Fatahi, Azar Hosseini, Masoumeh Moghaddam, Hamid Reza Salimi |
| author_facet | Fatahi, Azar Hosseini, Masoumeh Moghaddam, Hamid Reza Salimi |
| contents | In this paper, we give the flag curvature formula of general $(α,β)$-metrics of Berwald type. We study conformally related $(α,β)$-metrics, especially general $(α,β)$-metrics that are conformally related to invariant $(α,β)$-metrics. Also, a necessary and sufficient condition for a Finsler metric conformally related to an $(α,β)$-metric is given, and conformally related Douglas Randers metrics are studied. Finally, we present some examples of conformally related $(α,β)$-metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_00866 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Conformally related invariant $(α,β)$-metrics on homogeneous spaces Fatahi, Azar Hosseini, Masoumeh Moghaddam, Hamid Reza Salimi General Mathematics In this paper, we give the flag curvature formula of general $(α,β)$-metrics of Berwald type. We study conformally related $(α,β)$-metrics, especially general $(α,β)$-metrics that are conformally related to invariant $(α,β)$-metrics. Also, a necessary and sufficient condition for a Finsler metric conformally related to an $(α,β)$-metric is given, and conformally related Douglas Randers metrics are studied. Finally, we present some examples of conformally related $(α,β)$-metrics. |
| title | Conformally related invariant $(α,β)$-metrics on homogeneous spaces |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2210.00866 |