Minimal Lagrangian submanifolds of Lorentzian complex space forms with constant sectional curvature

zbMath0969.53045MaRDI QIDQ1291149

Marcus Kriele, Luc Vrancken

Publication date: 20 July 1999

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

minimal submanifoldLagrangian submanifoldcomplex space formcomplex Lorentzian manifoldLorentzian affine hypersphere

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Hermitian and Kählerian structures (53B35) Lagrangian submanifolds; Maslov index (53D12) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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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 ⋮ 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 ⋮ Classification of Lagrangian surfaces of constant curvature in complex hyperbolic plane ⋮ Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form

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