ON(α,β)-METRICS OF CONSTANT FLAG CURVATURE  

作　　者：Guangzu CHEN Xinyue CHENG 陈光祖;程新跃(School of Science,East China Jiao Tong University,Nanchang 330013,China;School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]School of Science,East China Jiao Tong University,Nanchang 330013,China [2]School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China

出　　处：《Acta Mathematica Scientia》2022年第2期755-768,共14页数学物理学报（B辑英文版）

基　　金：supported by the NationalNatural Science Foundation of China(11871126);the Science Foundation of Chongqing Normal University(17XLB022)。

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.

关 键 词：(α β)-metric flag curvature S-CURVATURE mean Landsberg curvature Riemannian metric Minkowski metric homothetic 1-form 

分 类 号：O186.12[理学—数学]