On Hamiltonian stable minimal Lagrangian surfaces in \({\mathbb{C}}\text{P}^2\)

DOI10.1007/BF02921823zbMath0991.53054MaRDI QIDQ1589328

Shaoping Chang

Publication date: 11 December 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Lagrangian surfaceHamiltonian stable

Mathematics Subject Classification ID

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

Related Items (2)

Hamiltonian stability of certain minimal Lagrangian submanifolds in complex projective spaces ⋮ Lifting Lagrangian immersions in \(\mathbb{C}P^{n-1}\) to Lagrangian cones in \(\mathbb{C}^n\)

Cites Work

• Unnamed Item
• Eigenfunctions and nodal sets
• Index of Lagrangian submanifolds of \(\mathbb{C} \mathbb{P}^ n\) and the Laplacian of 1-forms
• On stable currents and their application to global problems in real and complex geometry
• Minimum imbeddings of compact symmetric spaces of rank one
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• Submanifolds with Constant Mean Curvature
• A Totally Real Surface in CP 2 that is not Totally Geodesic

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