Optimal inequalities for the normalized delta-Casorati curvatures of submanifolds in Kenmotsu space forms

초록

In this paper, we establish two sharp inequalities for the normalized delta-Casorati curvatures of submanifolds in a Kenmotsu space form, tangent to the structure vector field of the ambient space. Moreover, we show that in both cases the equality at all points characterizes the totally geodesic submanifolds.

키워드