On H-curvature of Finsler warped product metrics

Abstract

In this paper, we study the H-curvature, an important non-Riemannian quantity, for a rich and important class of Finsler metrics called Finsler warped product metrics. We find an equation that characterizes the metrics of almost vanishing H-curvature. Further, we show that, if F is a Finsler warped product metric, then the H-curvature vanishes if and only if the Χ-curvature vanishes.