On warped product bi-slant submanifolds of Kenmotsu manifolds

Abstract

Chen (2001) initiated the study of CR-warped product submanifolds in Kaehler manifolds and established a general inequality between an intrinsic invariant (the warping function) and an extrinsic invariant (second fundamental form). In this paper, we establish a relationship for the squared norm of the second fundamental form (an extrinsic invariant) of warped product bi-slant submanifolds of Kenmotsu manifolds in terms of the warping function (an intrinsic invariant) and bi-slant angles. The equality case is also considered. Some applications of derived inequality are given.

Keywords

• Warped products
• Semi-slant
• Pseudo-slant
• Bi-slant submanifolds
• Warped product bi-slant submanifolds
• Kenmotsu manifolds