Document Type : Original Article
DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi-221005, India.
Loknayak Jai Prakash Institute of Technology, Chhapra-841302, India.
In this paper, we study a class of Finsler metric called general $(\alpha, \beta)$ metrics and obtain an equation that characterizes these Finsler metrics of almost vanishing H-curvature. As a consequence of this result, we prove that a general $(\alpha, \beta)$-metric has almost vanishing $H$-curvature if and only if it has almost vanishing $\Xi$-curvature.