TY - JOUR
AU - Venkatesha, K. S.
AU - Narasimhamurthy, S. K.
AU - Chandru, K.
PY - 2021/07/24
Y2 - 2022/05/18
TI - On Purely Hermitian R-complex Finsler Space with (α, β)-Metric
JF - Journal of the Indonesian Mathematical Society
JA - JIMS
VL - 27
IS - 2
SE - Articles
DO - 10.22342/jims.27.2.929.240-248
UR - http://jims-a.org/index.php/jimsa/article/view/929
SP - 240-248
AB - In the present paper we established some interesting results on purely Hermitian R-complex Finsler space with (α, β)-metrics, Firstly we characterize the conditions for the (α, β)-metric F = p α2 + εβ2 to be a purely Hermitian. Then determined the fundamental metric tensor, its inverse and determinent of the above metric. Further obtained Chern-Finsler connection coefficients and analysed necessary conditions under which an purely Hermitian R-complex Finsler space with (α, β)-metric to be Berwald, Kahler and strongly Kahler also given some examples.
ER -