On H-curvature a special class of (α, β) -metrics

On H-curvature a special class of (α, β) -metrics

In this article, a class of (α β)-metrics including Kropina metric are studied. They are called m-Kropina metrics and have the form F = α1-mβm, (m ̸= 0, 1). When m = -1; it is Kropina metric F = α2/β. It is shown that, every m-Kropina metric with almost vanishing H-curvature has the vanishing H-curvature.