On Ricci curvature of \(C\)-totally real submanifolds in Sasakian space forms

DOI10.1007/BF02829614zbMath1001.53027OpenAlexW2097057246MaRDI QIDQ1348753

Xi-Min Liu

Publication date: 8 December 2002

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829614

zbMATH Keywords

Sasakian space form\(C\)-totally real submanifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40)

Related Items

Curvature inequalities for C-totally real doubly warped products of locally conformal almost cosymplectic manifolds

Cites Work

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• Some pinching and classification theorems for minimal submanifolds
• C-totally real submanifolds of Sasakian space forms
• Contact manifolds in Riemannian geometry
• Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality
• On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms
• Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions