CHEN INEQUALITIES FOR SUBMANIFOLDS OF REAL SPACE FORMS WITH A SEMI-SYMMETRIC METRIC CONNECTION

Abstract

In this paper we prove Chen inequalities for submanifolds of real space forms endowed with a semi-symmetric metric connection, 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.