| ON(α,β)-METRICS OF CONSTANT FLAG CURVATURE |
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| 引用本文： | 陈光祖,程新跃.ON(α,β)-METRICS OF CONSTANT FLAG CURVATURE[J].数学物理学报(B辑英文版),2022(2):755-768. |
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| 作者姓名： | 陈光祖 程新跃 |
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| 作者单位： | 1. School of Science,East China JiaoTong University;2. School of Mathematical Sciences,Chongqing Normal University |
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| 基金项目： | supported by the NationalNatural Science Foundation of China (11871126)； |
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| 摘 要： | In this paper,we study the(α,β)-metrics of constant flag curvature.We characterize almost regular(α,β)-metrics of constant flag curvature under the condition that β is a homothetic 1-form with respect to a.Furthermore,we prove that if a regular(α,β)-metric is of constant flag curvature and β is a Killing 1-form with constant length,then it must be a Riemannian metric or locally Minkowskian.
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