TY - JOUR
ID - 84205
TI - On General $( alpha, beta)$-Metrics with Some Curvature Properties
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
AU - Tiwari, Bankteshwar
AU - Gangopadhyay, Ranadip
AU - Prajapati, Ghanashyam Kr.
AD - DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi-221005,
India.
AD - Loknayak Jai Prakash Institute of Technology, Chhapra-841302, India.
Y1 - 2019
PY - 2019
VL - 5
IS - 2
SP - 30
EP - 39
KW - Finsler space
KW - General (α, β)-metric
KW - Ξ-curvature
KW - $H$-curvature
DO - 10.22034/kjm.2019.84205
N2 - 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.
UR - http://www.kjm-math.org/article_84205.html
L1 - http://www.kjm-math.org/article_84205_7a50131e4fbba322eb53ea4697d49b67.pdf
ER -