两类具有标量旗曲率的弱Berwald度量(英文)

摘要

In this paper,we study the(α,β)-metrics of scalar flag curvature in the form of F = α+εβ+ k/β2/α(ε and k≠0 are constants) and F = α2/α-β.We prove that these two kinds of metrics are weak Berwaldian if and only if they are Berwaldian and their flag curvatures vanish.In this case,the metrics are locally Minkowskian.