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.
作者
陈光祖
程新跃
Guangzu CHEN;Xinyue CHENG(School of Science,East China Jiao Tong University,Nanchang 330013,China;School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China)
基金
supported by the NationalNatural Science Foundation of China(11871126)
the Science Foundation of Chongqing Normal University(17XLB022)。
