Chen-Tripathi Inequality for Warped Product Submanifolds of S-space Forms

DOI10.2478/v10157-011-0050-zzbMath1265.53056OpenAlexW2075556480WikidataQ125882912 ScholiaQ125882912MaRDI QIDQ4649322

Jeong-Sik Kim, Mohit Kumar Dwivedi

Publication date: 21 November 2012

Published in: Annals of the Alexandru Ioan Cuza University - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/v10157-011-0050-z

zbMATH Keywords

minimal submanifoldwarped productintegral submanifoldSasakian space form\(C\)-totally real submanifold\(\mathcal S\)-space form

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Vector distributions (subbundles of the tangent bundles) (58A30)

Cites Work

• C-totally real submanifolds
• The curvature of submanifolds of an \(S\)-space form
• A general optimal inequality for warped products in complex projective spaces and its applications.
• Non-immersion theorems for warped products in complex hyperbolic spaces
• Warped products in real space forms
• Isometric immersions of warped products
• Geometry of manifolds with structural group \(\mathcal U(n)\times\mathcal O(s)\)
• On warped product immersions
• RICCI CURVATURE OF SUBMANIFOLDS OF AN S-SPACE FORM
• Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
• Differential Geometric Structures on Principal Toroidal Bundles
• ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS
• RICCI CURVATURE OF INTEGRAL SUBMANIFOLDS OF AN S-SPACE FORM
• Manifolds of Negative Curvature
• Riemannian geometry of contact and symplectic manifolds
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