Lagrangian submanifolds in complex space forms satisfying equality in the optimal inequality involving \(\delta (2, \ldots, 2)\)

DOI10.1007/s13366-020-00541-4zbMath1475.53023OpenAlexW3098136032MaRDI QIDQ2022367

Xian Feng Wang, Luc Vrancken, Bang-Yen Chen

Publication date: 29 April 2021

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-020-00541-4

zbMATH Keywords

Lagrangian submanifoldoptimal inequalityideal submanifolds\(\delta\)-invariants\(H\)-umbilical Lagrangian submanifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Local submanifolds (53B25)

Related Items (6)

Ideal Lagrangian submanifolds ⋮ An optimal inequality for Lagrangian submanifolds in complex space forms involving Casorati curvature ⋮ Chen-Ricci inequalities for Riemannian maps and their applications ⋮ Classification of Casorati ideal Lagrangian submanifolds in complex space forms ⋮ Recent developments in δ-Casorati curvature invariants ⋮ \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 4

Cites Work

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• Curvature inequalities for Lagrangian submanifolds: the final solution
• Special Lagrangian 4-folds with \(\mathrm{SO}(2)\rtimes S_3\)-symmetry in complex space forms
• Classification of Lagrangian submanifolds in complex space forms satisfying a basic equality involving \(\delta(2,2)\)
• Representation of flat Lagrangian \(H\)-umbilical submanifolds in complex Euclidean spaces
• Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality
• Complex extensors and Lagrangian submanifolds in complex Euclidean spaces
• Interaction of Legendre curves and Lagrangian submanifolds
• Lagrangian submanifolds attaining equality in the improved Chen's inequality
• Optimal general inequalities for Lagrangian submanifolds in complex space forms
• Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves
• Affine spheres with constant affine sectional curvature
• Characterizing warped-product Lagrangian immersions in complex projective space
• Ideal Lagrangian immersions in complex space forms
• On Totally Real Submanifolds
• From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space
• An exotic totally real minimal immersion of S³ in ℂP³ and its characterisation

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