A new proof for some optimal inequalities involving generalized normalized \(\delta\)-Casorati curvatures

DOI10.1186/s13660-015-0831-0zbMath1341.53090OpenAlexW2192795341WikidataQ59428239 ScholiaQ59428239MaRDI QIDQ262559

Jae Won Lee, Gabriel Eduard Vîlcu, Chul Woo Lee

Publication date: 30 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0831-0

zbMATH Keywords

scalar curvaturemean curvatureshape operatorslant submanifold\(\delta\)-Casorati curvatureoptimal inequalityquaternionic space form

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimality conditions for minimax problems (49K35)

Related Items (10)

Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms ⋮ Estimation of inequalities for warped product semi-slant submanifolds of Kenmotsu space forms ⋮ Recent developments in δ-Casorati curvature invariants ⋮ Unnamed Item ⋮ Optimal inequalities for the normalized \(\delta\)-Casorati curvatures of submanifolds in Kenmotsu space forms ⋮ Inequalities for Algebraic Casorati Curvatures and Their Applications II ⋮ Basic inequalities for submanifolds of quaternionic space forms with a quarter-symmetric connection ⋮ A pinching theorem for statistical manifolds with Casorati curvatures ⋮ Bounds of generalized normalized \(\delta \)-Casorati curvatures for real hypersurfaces in the complex quadric ⋮ Inequalities for algebraic Casorati curvatures and their applications

Cites Work

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• SLANT SUBMANIFOLDS OF QUATERNION KAEHLER MANIFOLDS
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