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Chandru, K.
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Mathematics

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On Purely Hermitian R-complex Finsler Space with (α, β)-Metric Venkatesha, K. S.; Narasimhamurthy, S. K.; Chandru, K.
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 2 (July 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.2.929.%p

Abstract

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.
Co-Authors Narasimhamurthy, S. K. Venkatesha, K. S.