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.
Tiwari, B., Gangopadhyay, R., & Prajapati, G. (2019). On General $( \alpha, \beta)$-Metrics with Some Curvature Properties. Khayyam Journal of Mathematics, 5(2), 30-39. doi: 10.22034/kjm.2019.84205
MLA
Bankteshwar Tiwari; Ranadip Gangopadhyay; Ghanashyam Kr. Prajapati. "On General $( \alpha, \beta)$-Metrics with Some Curvature Properties". Khayyam Journal of Mathematics, 5, 2, 2019, 30-39. doi: 10.22034/kjm.2019.84205
HARVARD
Tiwari, B., Gangopadhyay, R., Prajapati, G. (2019). 'On General $( \alpha, \beta)$-Metrics with Some Curvature Properties', Khayyam Journal of Mathematics, 5(2), pp. 30-39. doi: 10.22034/kjm.2019.84205
VANCOUVER
Tiwari, B., Gangopadhyay, R., Prajapati, G. On General $( \alpha, \beta)$-Metrics with Some Curvature Properties. Khayyam Journal of Mathematics, 2019; 5(2): 30-39. doi: 10.22034/kjm.2019.84205