Chen inequalities for submanifolds of complex space forms and Sasakian space forms endowed with semi-symmetric metric connections

DOI10.1216/RMJ-2011-41-5-1653zbMath1231.53054MaRDI QIDQ640278

Cihan Özgür, Adela-Gabriela Mihai

Publication date: 18 October 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Levi-Civita connectionsemi-symmetric metric connectionSasakian space formChen inequalities

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (12)

Basic inequalities for real hypersurfaces in some Grassmannians ⋮ Basic inequalities for statistical submanifolds in Golden-like statistical manifolds ⋮ Chen's inequalities for submanifolds in \((\kappa, \mu)\)-contact space form with a semi-symmetric metric connection ⋮ Ricci and scalar curvature inequalities for semi-slant Riemannian submersions in complex space forms ⋮ Unnamed Item ⋮ Inequalities for submanifolds in statistical manifolds of quasi-constant curvature ⋮ Inequalities for submanifolds of Sasaki-like statistical manifolds ⋮ Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms ⋮ Unnamed Item ⋮ Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections ⋮ Unnamed Item ⋮ Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi-symmetric metric connections

Cites Work

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• Chen inequalities for submanifolds of real space forms with a semi-symmetric metric connection
• Some pinching and classification theorems for minimal submanifolds
• B.-Y. Chen's inequality for submanifolds of generalized space forms
• Certain inequalities for submanifolds in (K,μ)-contact space forms
• $\delta$-Invariants, Inequalities of Submanifolds and Their Applications
• Submanifolds of a Riemannian Manifold with Semisymmetric Metric Connections
• Sub-Spaces of a Space with Torsion
• Β. Y. CHEN INEQUALITIES FOR SLANT SUBMANIFOLDS IN COMPLEX SPACE FORMS

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