On Generalized \(R^h\) -Trirecurrent Space
University of Aden Journal of Natural and Applied Sciences,
Vol. 24 No. 2 (2020),
31-10-2020
Page 475-480
DOI:
https://doi.org/10.47372/uajnas.2020.n2.a14
Abstract
In the present paper‚ a Finsler space \(F_n\) whose Cartan’s fourth curvature tensor \(R_jkh^i\) satisfies \(R_{(jkh|l|m|n)}^i = c_{lmn} R_{jkh}^i + d_{lmn} ( δ_k^i g_{jh} - δ_h^i g_{jk} )\), \(R_jkh^i≠0\) , where \(c_{lmn}\) and \(d_{lmn}\) are non-zero covariant tensor fields, of third order is introduced and such space is called as generalized \(R^h\) -trirecurrent Finsler space and denote it briefly by \(GR^h-TRF_n\)‚ we obtained some generalized trirecurrent spaces. Also we introduced Ricci generalized trirecurrent space.
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Ricci tensor \(R_{jk}\), generalized trirecurrent tensors
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