On H-curvature of Finsler warped product metrics

Document Type : Original Article


1 Department of mathematics, Istanbul Bilgi University, Istanbul, Turkey. E-mail: esra.sengelen@bilgi.edu.tr

2 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. E-mail: m.gabrani@urmia.ac.ir


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.