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 \(Uⱼₖₕ^i\) and Douglas tensor \(Dⱼₖₕ^i\) 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.
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Abdalstar Ali Mohsen Saleem (2024) studied this question.
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