Special Finsler Spaces

Abstract

It has been remarked in Section 2.3.2 that from pre-Finsler connection FΓ = (F ⁱ _jk , N ⁱ _j , V ⁱ _jk ) we obtain another Finsler connection FΓ^h = (F ⁱ _jk , N ⁱ _j , 0) by changing V ⁱ _jk for zero. From this remark and Proposition 2.2.1 of Section 2.2.3 it follows that its Γ ^u _v is nothing but the induced-vertical subspace F ⁱ _u and its h- and hv-curvature tensors are the K- and F-tensors defined by (2.3.2.9′) and (2.3.2.10′), respectively.