@article{Venkatesha_Narasimhamurthy_Chandru_2021, title={On Purely Hermitian R-complex Finsler Space with (α, β)-Metric}, volume={27}, url={http://jims-a.org/index.php/jimsa/article/view/929}, DOI={10.22342/jims.27.2.929.240-248}, abstractNote={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.}, number={2}, journal={Journal of the Indonesian Mathematical Society}, author={Venkatesha, K. S. and Narasimhamurthy, S. K. and Chandru, K.}, year={2021}, month={Jul.}, pages={240–248} }