On U–Trirecurrent Finsler Space
University of Aden Journal of Natural and Applied Sciences,
Vol. 28 No. 1 (2024),
22-09-2024
Page 13-20
DOI:
https://doi.org/10.47372/uajnas.2024.n1.a02
Abstract
In the present paper, we introduce a Finsler space Fn for which the hv - curvature tensor satisfies the trirecurrent property in sense of Cartan. The relationship between hv - curvature tensor \(U_{jkh}^i\) and Douglas tensor \(D_{jkh}^i\) has been studied. We obtain the necessary and sufficient condition for some tensors to be trirecurrent .Finally, the trirecurrent property in a projection on indicatrix with respect to Cartan connection has been studied.
Keywords:
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U-trirecurrent space, Douglas tensor, necessary and sufficient condition, projection on indicatrix
How to Cite
Saleem, A. A. M. . (2024). On U–Trirecurrent Finsler Space. University of Aden Journal of Natural and Applied Sciences, 28(1), 13–20. https://doi.org/10.47372/uajnas.2024.n1.a02
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