Chen inequalities for submanifolds of complex space forms and sasakian space forms endowed with semi-symmetric metric connections

Abstract

In this paper we prove Chen inequalities for submanifolds of complex space forms and, respectively, Sasakian space forms, endowed with semi-symmetric metric connections, i.e., relations between the mean curvature associated with the semi-symmetric metric connection, scalar and sectional curvatures, Ricci curvatures and the sectional curvature of the ambient space. The equality cases are considered.