본문 바로가기
KERD
논문KCI 등재

On a Finsler space with $(\alpha , \beta )$-metric and certain metrical non-linear connection

김병두|박홍서|박하용
대한수학회 (The Korean Mathematical Society)|2006.01|대한수학회논문집 (Communications of the KMS)|제21권 제1호|pp. 177-183

0

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

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.

참고문헌 (6)

  1. "The theory of sprays and Finsler spaces with applications in physics and biology" (1993)
  2. "\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"
  3. "\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 \page 13--21 \endref"
  4. "^Y. Ichijyo^ M. Hashiguchi" (1989)
  5. "On metrical homogeneous connections of a Finsler point space" (1996)
  6. "Theory of Finsler spaces with alpha ,beta-metric" (1992)

관련 논문AI추천

Projectively flat Finsler spaces with certain $(\alpha, \beta)$-metrics김병두, 박하용, 박홍서, 최은서대한수학회 · 대한수학회보2003 · 제40권 제4호On weakly-Berwald spaces of special $(\a, \b)$-metrics이명한, 이일룡대한수학회 · 대한수학회보2006 · 제43권 제2호Finsler spaces with infinite series $(\alpha, \beta)$-metricHong-Suh Park, Il-Yong Lee대한수학회 · 대한수학회지2004 · 제41권 제3호The $m$-th root Finsler metrics admitting $(\alpha,\beta)$-types김병두, 박하용대한수학회 · 대한수학회보2004 · 제41권 제1호Projective Change between Two Finsler Spaces with (α,β)-metricNarasimhamurthy Senajji Kampalappa, Vasantha Dogehalli Mylarappa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호On the special Finsler metricNany Lee대한수학회 · 대한수학회보2003 · 제40권 제3호

이 간행물의 다른 논문 (18건)

The Cohn-Jordan extension and skew monoid rings over a quasi-Baer ringEbrahim Hashemipp. 1-9Divisible envelopes of the form $T \hookrightarrow S^{-1}T$김해식, 송영무pp. 11-16Trace formulas on finite groups양재현pp. 17-25Fuzzy Quotient Structures of $BCK$-algebras Induced by Fuzzy $BCK$-filters전영배pp. 27-36Injective representations of quivers박상원, 신대라pp. 37-43
원문 보기