Hamiltonian minimal submanifolds in complex hyperbolic space with \(SO(n)\)-symmetry

DOI10.1016/j.na.2007.03.007zbMath1159.53022OpenAlexW2046329774MaRDI QIDQ2483374

Qingchun Ji

Publication date: 28 April 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.2007.03.007

zbMATH Keywords

moment mapHamiltonian minimal submanifoldscohomogeneityKähler reduction

Mathematics Subject Classification ID

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

Cites Work

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• Exceptional orbits of highest dimension
• Some explicit examples of Hamiltonian minimal Lagrangian submanifolds in complex space forms
• Minimal Lagrangian diffeomorphisms and the Monge-Ampère equation
• Hamiltonian stationary Lagrangian surfaces in \(\mathbb{C}^2\)
• Minimizing area among Lagrangian surfaces: the mapping problem.
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• Hamiltonian stationary tori in the complex projective plane
• Lectures on symplectic geometry

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