%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.