Lagrangian surfaces in the complex hyperquadric \(Q_2\)

DOI10.1016/j.geomphys.2015.07.009zbMath1326.53085OpenAlexW845098965MaRDI QIDQ490960

Jun Wang, Xiao-Wei Xu

Publication date: 21 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.07.009

zbMATH Keywords

minimal surfaceLagrangian surfaceholomorphic one-form

Mathematics Subject Classification ID

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

Cites Work

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• Construction of Lagrangian submanifolds in \(\mathbb C\mathbb P^n\)
• Hamiltonian-minimal Lagrangian submanifolds in Kähler manifolds with symmetries
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• Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
• New examples of minimal Lagrangian tori in the complex projective plane
• Hamiltonian stationary Lagrangian surfaces in \(\mathbb{C}^2\)
• Totally real minimal tori in \(\mathbb CP^2\)
• Hamiltonian-minimal Lagrangian submanifolds in complex space forms
• Hamiltonian stationary Lagrangian surfaces in \(\mathbb C \mathbb{P}^{2}\)
• On a family of conformally flat minimal Lagrangian tori in \(\mathbb CP^{3}\)
• Examples of Hamiltonian stationary Lagrangian tori in \(\mathbb CP^2\)
• The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in \({\mathbb C}P^2\)
• New examples of Hamilton-minimal and minimal Lagrangian manifolds in $ \mathbb C^n$ and $ \mathbb C\mathrm P^n$
• Hamiltonian stationary tori in the complex projective plane

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