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Abstract In this paper, we establish two sharp inequalities for the normalized δ-Casorati curvatures of submanifolds in a Kenmotsu space form, tangent to the structure vector field of the ambient… Click to show full abstract
Abstract In this paper, we establish two sharp inequalities for the normalized δ-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.
Keywords:
space;
submanifolds kenmotsu;
casorati curvatures;
inequalities normalized;
curvatures submanifolds;
normalized casorati
Journal Title: Advances in Geometry
Year Published: 2017
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Journal Title: Advances in Geometry
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!