On a family of conformally flat minimal Lagrangian tori in \(\mathbb CP^{3}\)

DOI10.1134/S0001434607030078zbMath1141.53055OpenAlexW2065566737MaRDI QIDQ2473710

Andrey E. Mironov

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607030078

zbMATH Keywords

minimal submanifoldcomplex projective spaceLagrangian submanifoldsymplectic manifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Construction of Lagrangian submanifolds in complex hyperquadric ⋮ Lagrangian surfaces in the complex hyperquadric \(Q_2\) ⋮ Minimal Lagrangian submanifolds in \(\mathbb{CP}^n\) with diagonal metric

Cites Work

• Conformal and minimal immersions of compact surfaces into the 4-sphere
• New examples of minimal Lagrangian tori in the complex projective plane
• Special Lagrangian \(m\)-folds in \(\mathbb{C}^m\) with symmetries
• 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$
• Minimal Lagrangian submanifolds in \(\mathbb{C}\mathbb{P}^3\) and the sinh-Gordon equation
• Unnamed Item

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