AN OPTIMAL INEQUALITY FOR CR-WARPED PRODUCTS IN COMPLEX SPACE FORMS INVOLVING CR δ-INVARIANT

DOI10.1142/S0129167X12500450zbMath1244.53059MaRDI QIDQ5389539

Bang-Yen Chen

Publication date: 21 April 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Whitney sphere\(\delta\)-invariantoptimal inequalityCR-warped product

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Lagrangian submanifolds; Maslov index (53D12)

Related Items (11)

Chen's inequalities for submanifolds in \((\kappa, \mu)\)-contact space form with a semi-symmetric metric connection ⋮ Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms ⋮ An inequality for contact CR-submanifolds in Sasakian space forms ⋮ On Casorati curvatures of submanifolds in pointwise Kenmotsu space forms ⋮ Unnamed Item ⋮ Inequalities for the Casorati curvatures of real hypersurfaces in some Grassmannians ⋮ Inequalities for generalized normalized \(\delta\)-Casorati curvatures of slant submanifolds in quaternionic space forms ⋮ Bounds of generalized normalized \(\delta \)-Casorati curvatures for real hypersurfaces in the complex quadric ⋮ Optimal inequalities for contact CR-submanifolds in almost contact metric manifolds ⋮ Unnamed Item ⋮ Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi-symmetric metric connections

Cites Work

• Unnamed Item
• Eine innere Kennzeichnung der verzerrten Produkte
• Complex extensors and Lagrangian submanifolds in complex Euclidean spaces
• Another general inequality for CR-warped products in complex space forms
• CR-warped products in complex projective spaces with compact holomorphic factor
• CR PRODUCTS IN LOCALLY CONFORMAL KÄHLER MANIFOLDS
• Geometry of warped product CR-submanifolds in Kaehler manifolds
• Geometry of warped product CR-submanifolds in Kaehler manifolds. II

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