Some results on strong Randers metrics
The authors consider a strong Randers metric \(F=\alpha+| \beta| \) on a complex manifold. They prove that \(F\) is Kähler if and only if \(\beta\) is parallel with respect to \(\alpha\). Moreover, it is shown that if \(\alpha\) has constant holomorphic sectional curvature, it is shown that either \(F\) is usually Kählerian (i.e., \(F=\alpha\)), or it is Minkowskian of the form \(F=| v| ^2+\langle c,{\bar v}\rangle\), where \(c\) is constant vector and \(| v| =\sqrt{\langle v,v\rangle}\).
scientific article; zbMATH DE number 6656695