• Title/Summary/Keyword: L-metrical non-linear connection

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

  • PARK HONG-SUH;PARK HA-YONG;KIM BYUNG-DOO
    • Communications of the Korean Mathematical Society
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    • v.21 no.1
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    • pp.177-183
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    • 2006
  • 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.