On a Finsler space with a special metrical connection

Abstract: In this paper, we consider a Finsler space with a special metrical connection and find necessary and sufficient condition when the (v)hv-torsion tensor $^*P^i_{jk}$ with respect to the special metrical connection coincides with the (v)hv-torsion $P^i_{jk}$ with respect to general Finsler connection. The relation in hv-curvature tensor, h-curvature tensor and v(h)-torsion tensor with respect to these two connection are also obtained.

Keywords: Finsler space, Finsler connection, metrical connection

Classification (MSC2000): 53B40

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