Classification of Lagrangian surfaces of constant curvature in complex projective plane

DOI10.1016/J.GEOMPHYS.2004.07.009zbMath1072.53027OpenAlexW2061129247MaRDI QIDQ556168

Bang-Yen Chen

Publication date: 13 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.07.009

zbMATH Keywords

Legendre curvesurface of constant curvatureLagrangian surfacespecial Legendre curve

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Lagrangian submanifolds; Maslov index (53D12)

Related Items (6)

COMPLETE CLASSIFICATION OF PARALLEL LORENTZIAN SURFACES IN LORENTZIAN COMPLEX SPACE FORMS ⋮ Classification of flat Lagrangian surfaces in complex Lorentzian plane ⋮ Three additional families of Lagrangian surfaces of constant curvature in complex projective plane ⋮ Classification of Lagrangian surfaces of curvature \(\varepsilon \) in non-flat Lorentzian complex space form \({\tilde M}_1^2 (4\varepsilon)\) ⋮ Pseudo-parallel Lagrangian submanifolds in complex space forms ⋮ A new characterization of the Berger sphere in complex projective space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal Lagrangian submanifolds of Lorentzian complex space forms with constant sectional curvature
• Representation of flat Lagrangian \(H\)-umbilical submanifolds in complex Euclidean spaces
• Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form
• Lagrangian surfaces of constant curvature in complex Euclidean plane
• Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space forms
• 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
• Maslovian Lagrangian surfaces of constant curvature in complex projective or complex hyperbolic planes

This page was built for publication: Classification of Lagrangian surfaces of constant curvature in complex projective plane