On U–Trirecurrent Finsler Space

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.