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초록· 키워드
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The purpose of this paper is to introduce an
$L$-metrical non-linear connection $N^{*i}_j$ and investigate a
conformal change in the Finsler space with $(\alpha ,\beta
)$-metric. The $(v)h$-torsion and $(v)hv$-torsion 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.
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참고문헌 (6)
참고문헌 신청
/ / \ref \key 2 \by M. Hashiguchi \paper On conformal transformations of Finsler metrics \jour J. Math. Kyoto Univ. \vol16 \yr 1976 \page 25--50 \endref
/ / \ref \key 3 \by Y. Ichijyo \paper On the condition for a $\{V H\}$-manifold to be locally Mincowskian or coformally flat \jour J. Math. Tokushima Univ.\vol 12 \yr 1979 \p
/ 1989 / ^Y. Ichijyo^ M. Hashiguchi
/ 1992 / Theory of Finsler spaces with alpha ,beta-metric
/ 1993 / The theory of sprays and Finsler spaces with applications in physics and biology
/ / \ref \key 3 \by Y. Ichijyo \paper On the condition for a $\{V H\}$-manifold to be locally Mincowskian or coformally flat \jour J. Math. Tokushima Univ.\vol 12 \yr 1979 \p
/ 1989 / ^Y. Ichijyo^ M. Hashiguchi
/ 1992 / Theory of Finsler spaces with alpha ,beta-metric
/ 1993 / The theory of sprays and Finsler spaces with applications in physics and biology
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