Lagrangian surfaces of constant curvature in complex Euclidean plane

DOI10.2748/TMJ/1113246555zbMath1063.53081OpenAlexW1999049340MaRDI QIDQ1885490

Bang-Yen Chen

Publication date: 5 November 2004

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

Full work available at URL: https://doi.org/10.2748/tmj/1113246555

zbMATH Keywords

surface of constant curvatureLagrangian surfaceLagrangian \(H\)-umbilical surface

Mathematics Subject Classification ID

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

Related Items (4)

A classification result for biminimal Lagrangian surfaces in complex space forms ⋮ Classification of Lagrangian surfaces of constant curvature in complex projective plane ⋮ Lagrangian surfaces of constant angle in the complex Euclidean plane ⋮ Classification of Lagrangian surfaces of constant curvature in complex hyperbolic plane

Cites Work

• Representation of flat Lagrangian \(H\)-umbilical submanifolds in complex Euclidean spaces
• Complex extensors and Lagrangian submanifolds in complex Euclidean spaces
• Classification of flat slant surfaces in complex Euclidean plane.

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