On a Finsler space with a special metrical connection

Gupta, M. K. and Gupta, Anil K. (2016) On a Finsler space with a special metrical connection. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 32 (1). pp. 135-139. ISSN 0866-0174

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Abstract

In this paper, we consider a Finsler space with a special metrical connection and find necessary and sufficient condition when the (v)hvtorsion 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.

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