On Purely Hermitian R-complex Finsler Space with (α, β)-Metric

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 determine...

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Bibliographic Details
Published inJournal of the Indonesian Mathematical Society pp. 240 - 248
Main Authors Venkatesha, K. S., Narasimhamurthy, S. K., Chandru, K.
Format Journal Article
LanguageEnglish
Published 24.07.2021
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Summary: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.
ISSN:2086-8952
2460-0245
DOI:10.22342/jims.27.2.929.240-248