Classification of Hamiltonian-stationary Lagrangian submanifolds of constant curvature in \(\mathbb CP^3\) with positive relative nullity

DOI10.1016/j.na.2007.06.005zbMath1145.53064OpenAlexW2002124162MaRDI QIDQ939437

Bang-Yen Chen, Óscar J. Garay

Publication date: 22 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.06.005

zbMATH Keywords

Lagrangian surfaces\(H\)-stationaryHamiltonian-stationaryLorentzian complex space formtwisted product decompositions

Mathematics Subject Classification ID

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

Related Items (2)

Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings ⋮ Hamiltonian-stationary Lagrangian surfaces of constant curvature \(\varepsilon \) in complex space form \(\tilde M ^2(4\varepsilon )\)

Cites Work

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• Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves
• Construction of Lagrangian surfaces in complex Euclidean plane with Legendre curves
• Lagrangian submanifolds foliated by \((n-1)\)-spheres in \(\mathbb R^{2n}\)
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• Lagrangian isometric immersions of a real-space-form Mⁿ(c) into a complex-space-form M˜ⁿ(4c)
• On Totally Real Submanifolds

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