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.
Guangzu CHEN
,
Xinyue CHENG
. ON (α, β)-METRICS OF CONSTANT FLAG CURVATURE[J]. Acta mathematica scientia, Series B, 2022
, 42(2)
: 755
-768
.
DOI: 10.1007/s10473-022-0220-y
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