Siddesha M.S. - Department of Mathematics, Jain Deemed-to-be-University, Global Campus-۵۶۲۱۱۲, Karnataka, India
Bagewadi C.S. - Department of Mathematics, Kuvempu University, Shankaraghatta - ۵۷۷ ۴۵۱, Shimoga, Karnataka, India

This paper focuses on investigating invariant submanifolds within Kenmotsu manifolds. Specifically, it explores cases where these submanifolds meet the Tachibana conditions related to the parallel second fundamental form, products involving the Riemannian and conformal curvature tensors, and the Ricci curvature tensor along with Riemannian metrics. Under specific conditions, it has been demonstrated that these invariant submanifolds will exhibit the characteristic of being totally geodesic.

Invariant submanifold, Kenmotsu manifold, totally geodesic