An Inequality on Quaternionic CR-Submanifolds

Abstract

We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.

Keywords

• quaternionic cr-submanifolds
• quaternionic space forms
• -invariants
• primary 53c40, 53c25