  The Fedosov deformation quantization on a cotangent bundle with a symplectic
connection induced by some linear symmetric connection on the base space is
considered. A global construction of the symplectic homogeneous connection on
the cotangent bundle modelled on the linear symmetric connection from the base
space is proposed. Examples of the induced symplectic connection are given. A
detailed analysis of the Abelian connection and flat sections representing
special types of functions for this kind of symplectic connection is presented.
Some properties of the *-product determined by the induced symplectic
connection are shown.
