B.-Y. Chen inequalities for slant submanifolds in Kenmotsu space forms

Abstract

In this paper, we established relationships between the main extrinsic invariant (the squared mean curvature) and intrinsic invariant and also a version of B.-Y.Chen’s inequality for a slant submanifold of a Kenmotsu space form, tangent to the structure vector field of the ambient space,particularizing them to invariant and anti-invariant submanifolds.