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

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.

公開日:2010年1月24日で登録したコンテンツは、国立情報学研究所において電子化したものです。