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

Title & Authors
ON A FINSLER SPACE WITH (α, β)-METRIC AND CERTAIN METRICAL NON-LINEAR CONNECTION
PARK HONG-SUH; PARK HA-YONG; KIM BYUNG-DOO;

Abstract
The purpose of this paper is to introduce an L-metrical non-linear connection $\small{N_j^{*i}}$ and investigate a conformal change in the Finsler space with $\small{({\alpha},\;{\beta})-metric}$. The (v)h-torsion and (v)hvtorsion in the Finsler space with L-metrical connection $\small{F{\Gamma}^*}$ 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;
Language
English
Cited by
1.
Randers space with special nonlinear connection, Lobachevskii Journal of Mathematics, 2008, 29, 1, 27
2.
On an R-Randersmth-Root Space, Geometry, 2013, 2013, 1
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