Certain investigations of sequential warped product submanifolds on cosymplectic manifolds

Abstract

Abstract In a special class of almost contact metric manifolds known as cosymplectic manifolds, the current study aims to establish the existence result and a few inequalities for sequential warped product submanifolds. These results and inequalities represent fruitful connections between the primary intrinsic and extrinsic invariants. Furthermore, findings related to Dirichlet energy have been addressed. Finally, some exceptional cases resulting in several inequities are examined.

Keywords

• Submanifold
• Warped product
• Almost contact manifold
• Sequential warped product manifolds