Ideal \(C\)-totally real submanifolds in Sasakian space forms

DOI10.1007/S10231-003-0073-5zbMath1223.53041OpenAlexW2037017954MaRDI QIDQ2504771

Ion Mihai

Publication date: 28 September 2006

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-003-0073-5

zbMATH Keywords

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

Mathematics Subject Classification ID

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

Related Items (5)

Eigenvalue inequalities for the p-Laplacian operator on C-totally real submanifolds in Sasakian space forms ⋮ \(r\)-almost Newton-Ricci solitons on Legendrian submanifolds of Sasakian space forms ⋮ Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms ⋮ On \(C\)-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor ⋮ Curvature inequalities for C-totally real doubly warped products of locally conformal almost cosymplectic manifolds

Cites Work

• Some pinching and classification theorems for minimal submanifolds
• Contact manifolds in Riemannian geometry
• Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality
• Ricci tensor of \(C\)-totally real submanifolds in Sasakian space forms
• Isometric immersions of Riemannian products
• Ideal Lagrangian immersions in complex space forms
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