The College of Science in the Department of Mathematics discussed a master thesis entitled On Certain Curvature Tensors of C_5⊕ C_12-Manifolds  for postgraduate student Ali Adnan Abd AlA'li. The thesis aims to study the geometric properties and tensor components of a specific class of almost contact metric manifolds, namely the C_5⊕ C_12 class. Furthermore, the student established the characteristic identity of this class on G-structure adjoined space and found the equivalent conditions for the defining condition of the class in terms of Kirichenko's tensors and discussed the necessary and sufficient condition for C_5⊕ C_12-manifold to be almost C(λ)-manifold.