In this thesis that is based on [??, ??, ??, ??] we use some concepts such as space forms, semi-symmetric metric connection and the Casorati curvature to prove some optimal inequalities involving the intrinsic scalar curvature and extrinsic Casorati curvature of submanifolds of generalized space forms endowed with a semi-symmetric metric connection. Felice Casorati was an Italian mathematician. He is best known for the Casorati-Weierstrass theorem in complex analysis. In ???? he introduced a new concept for cuvature which defined as the average of squared of the principal curvatues. This curvature was named Casorati curvature.
