Bounds of generalized normalized $$\delta $$δ-Casorati curvatures for real hypersurfaces in the complex quadric
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DOI: 10.1007/s40065-018-0223-7
Abstract: In the present paper, we first characterize real hypersurfaces in the complex quadric $$Q^{m}$$Qm by giving an inequality in terms of the scalar curvature and the Mean curvature vector field. We also obtain the condition… read more here.
Keywords: delta casorati; casorati curvatures; normalized delta; real hypersurfaces ... See more keywords
Optimal inequalities for the normalized δ-Casorati curvatures of submanifolds in Kenmotsu space forms
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DOI: 10.1515/advgeom-2017-0008
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… read more here.
Keywords: space; submanifolds kenmotsu; casorati curvatures; inequalities normalized ... See more keywords