On an inequality of Oprea for Lagrangian submanifolds

DOI10.2478/S11533-008-0064-2zbMath1176.53030OpenAlexW2088027632MaRDI QIDQ1035345

Johan Fastenakels, Frankie Dillen

Publication date: 2 November 2009

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-008-0064-2

zbMATH Keywords

Lagrangian submanifoldscurvature inequalities

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Local submanifolds (53B25)

Related Items (3)

Classification of Casorati ideal Lagrangian submanifolds in complex space forms ⋮ On \(\delta\)-Casorati curvature invariants of Lagrangian submanifolds in quaternionic Kähler manifolds of constant \(q\)-sectional curvature ⋮ Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms

Cites Work

• Some pinching and classification theorems for minimal submanifolds
• On a Riemannian invariant of Chen type
• Riemannian geometry of Lagrangian submanifolds
• Lagrangian submanifolds attaining equality in the improved Chen's inequality
• A best possible inequality for curvature-like tensor fields
• Chen's inequality in the Lagrangian case
• Characterizing warped-product Lagrangian immersions in complex projective space
• Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions

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