Intrinsic study of generalized horizontal recurrent Finsler connection

The present paper provides an intrinsic generalization of a horizontally
recurrent Finsler connection, which we call the generalized horizontally recurrent Finsler
connection (GHRF Γ). We establish a proof of the uniqueness and existence theorem of GHRF Γ, investigate relations between the curvature and torsion tensors of Cartan and GHRF Γ, and study some geometric consequences and special cases of GHRF Γ. We give an example in some details with a special case.