Chen inequalities for submanifolds of a cosymplectic space form with a semi-symmetric metric connection

Abstract

In this paper, we prove Chen inequalities for submanifolds of a cosymplectic space form of constant phi-sectional curvature N2m+1(c) 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, k-Ricci curvature and the sectional curvature of the ambient space.