  An absolute parallelism (AP-) space having Finslerian properties is called
FAP-space. This FAP-structure is more wider than both conventional AP and
Finsler structures. In the present work, more geometric objects as curvature
and torsion tensors are derived in the context of this structure. Also second
order tensors, usually needed for physical applications, are derived and
studied. Furthermore, the anti-curvature and the W-tensor are defined for the
FAP-structure. Relations between Riemannian, AP, Finsler and FAP structures are
given. These relations facilitate comparison between results of applications
carried out in the framework of these structures. We hope that the use of the
FAP-structure, in applications may throw some light on some of the problems
facing geometric field theories.
