%0 Journal Article
%T On General $( alpha, beta)$-Metrics with Some Curvature Properties
%J Khayyam Journal of Mathematics
%I Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
%Z 2423-4788
%A Tiwari, Bankteshwar
%A Gangopadhyay, Ranadip
%A Prajapati, Ghanashyam Kr.
%D 2019
%\ 07/01/2019
%V 5
%N 2
%P 30-39
%! On General $( alpha, beta)$-Metrics with Some Curvature Properties
%K Finsler space
%K General (α, β)-metric
%K Ξ-curvature
%K $H$-curvature
%R 10.22034/kjm.2019.84205
%X 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.
%U http://www.kjm-math.org/article_84205_7a50131e4fbba322eb53ea4697d49b67.pdf