%A Guangzu CHEN, Xinyue CHENG %T ON (α, β)-METRICS OF CONSTANT FLAG CURVATURE %0 Journal Article %D 2022 %J Acta mathematica scientia,Series B %R 10.1007/s10473-022-0220-y %P 755-768 %V 42 %N 2 %U {http://121.43.60.238/sxwlxbB/CN/abstract/article_16681.shtml} %8 2022-04-25 %X 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 α. 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.