Warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds

DOI10.1016/j.na.2007.09.033zbMath1155.53047OpenAlexW2010495617MaRDI QIDQ955654

Bang-Yen Chen, Frankie Dillen

Publication date: 20 November 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.2007.09.033

zbMATH Keywords

Lagrangian submanifoldwarped product decomposition

Mathematics Subject Classification ID

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

Related Items (3)

Riemannian warped product maps ⋮ Hamiltonian-stationary Lagrangian surfaces of constant curvature \(\varepsilon \) in complex space form \(\tilde M ^2(4\varepsilon )\) ⋮ CR-Warped Submanifolds in Kaehler Manifolds

Cites Work

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• Construction of Lagrangian surfaces in complex Euclidean plane with Legendre curves
• Examples of Hamiltonian stationary Lagrangian tori in \(\mathbb CP^2\)
• Classification of a family of Hamiltonian-stationary Lagrangian submanifolds in complex hyperbolic 3-spaces
• 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)
• Explicit construction of Lagrangian isometric immersion of a real-space-form Mⁿ(c) into a complex-space-form M˜ⁿ(4c)
• Hamiltonian stationary tori in the complex projective plane
• On Totally Real Submanifolds

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