Journal:
:bulletin of the iranian mathematical society2015
x. chen r. yan
in this paper, the authors prove that a strictly kähler-berwald manifold with nonzero constant holomorphic sectional curvature must be a kähler manifold.
In this paper, we study generalized Douglas-Weyl Finsler metrics. We find some conditions under which the class of generalized Douglas-Weyl (&alpha, &beta)-metric with vanishing S-curvature reduce to the class of Berwald metrics.
Journal:
:International Journal of Mathematics and Statistics2023
In this paper, we study the Finsler space with special (α, β)-metric is scalar flag curvature and proved that, if it weakly Berwald only vanishes curvature. Further, found that metric locally Minkowskian.
