On the Finsler Connection Associated with a Linear Connection Satisfying P^h_<ikj>=0

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概要

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• In a Finsler manifold provided with a linear connection Γ^i_<jk>(x), a Finsler connection such as Γ^*={Γ^i_<jk>(x), Γ^i_<lk>(x)y^l, C^i_<jk>} can be considered, where C^i_<jk>=1/2g^<im> ∂_mg_<jk>. The connection Γ^* is called the Finsler connection associated with Γ^i_<jk>(x). In this case, the A-covariant derivative ▽k, v-covariant derivative ▽k and the hv-curvature tensor P^h_<ijk>, which have been defined by Matsumoto [8], can be also considered.

• 徳島大学の論文
• 1978-11-30

著者

• Ichijyo Yoshihiro

  Department Of Mathematical Science Faculty Of Integrated Arts And Sciences The University Of Tokushi

• Ichijyo Yoshihiro

  Department Of Mathematics College Of General Education Tokushima University

関連論文

• On Some Structures Defined on Dominant Vector Bundles
• Conformally Flat Finsler Structures
• Kaehlerian Finsler Manifolds
• On the Conditions for a {V, H}-manifold to be Locally Minkowskian or Conformally Flat
• On the Finsler Connection Associated with a Linear Connection Satisfying P^h_=0
• Finsler Manifolds with a Linear Connection

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