Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form

DOI10.2748/tmj/1113247183zbMath1013.53039OpenAlexW2054757797MaRDI QIDQ1607531

Luc Vrancken, Bang-Yen Chen

Publication date: 20 June 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247183

zbMATH Keywords

Lagrangian submanifoldsminimal submanifoldsLorentzian space forms

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Lagrangian submanifolds; Maslov index (53D12) Local submanifolds (53B25)

Related Items (12)

Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms ⋮ On product minimal Lagrangian submanifolds in complex space forms ⋮ Minimal Lagrangian isotropic immersions in indefinite complex space forms ⋮ Classification of flat Lagrangian surfaces in complex Lorentzian plane ⋮ The classification of 3-dimensional Lorentzian affine hypersurfaces with parallel cubic form ⋮ Classification of Lagrangian surfaces of constant curvature in complex projective plane ⋮ Classification of Lagrangian surfaces of curvature \(\varepsilon \) in non-flat Lorentzian complex space form \({\tilde M}_1^2 (4\varepsilon)\) ⋮ Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space forms ⋮ \(C\)-totally real submanifolds with constant sectional curvature in the Sasakian space forms ⋮ On stability and index of minimal submanifolds ⋮ Classification of quasi-minimal slant surfaces in Lorentzian complex space forms ⋮ Classification of Lagrangian surfaces of constant curvature in complex hyperbolic plane

Cites Work

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• Interaction of Legendre curves and Lagrangian submanifolds
• Totally Real Minimal Immersions of n-Dimensional Real Space Forms into n-Dimensional Complex Space Forms
• Lagrangian isometric immersions of a real-space-form Mⁿ(c) into a complex-space-form M˜ⁿ(4c)
• On Totally Real Submanifolds
• An exotic totally real minimal immersion of S³ in ℂP³ and its characterisation
• Lorentzian affine hyperspheres with constant affine sectional curvature

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