Chen-Ricci inequality for biwarped product submanifolds in complex space forms

Abstract

The main objective of this paper is to achieve the Chen-Ricci inequality for biwarped product submanifolds isometrically immersed in a complex space form in the expressions of the squared norm of mean curvature vector and warping functions.The equality cases are likewise discussed. In particular, we also derive Chen-Ricci inequality for CR-warped product submanifolds and point wise semi slant warped product submanifolds.

Keywords

• ricci curvature
• biwarped product submanifolds
• complex space form
• cr-warped product submanifolds
• semi slant warped product submanifolds