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http://dx.doi.org/10.4134/CKMS.2006.21.1.177

ON A FINSLER SPACE WITH (α, β)-METRIC AND CERTAIN METRICAL NON-LINEAR CONNECTION  

PARK HONG-SUH (Department of Mathematics Kyungil University)
PARK HA-YONG (Department of Mathematics Kyungil University)
KIM BYUNG-DOO (Department of Mathematics Kyungil University)
Publication Information
Communications of the Korean Mathematical Society / v.21, no.1, 2006 , pp. 177-183 More about this Journal
Abstract
The purpose of this paper is to introduce an L-metrical non-linear connection $N_j^{*i}$ and investigate a conformal change in the Finsler space with $({\alpha},\;{\beta})-metric$. The (v)h-torsion and (v)hvtorsion in the Finsler space with L-metrical connection $F{\Gamma}^*$ are obtained. The conformal invariant connection and conformal invariant curvature are found in the above Finsler space.
Keywords
Finsler space; L-metrical non-linear connection; (v)h-torsiion; (v)hv-torsion; conformal invariant;
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