Biharmonic capacity and the stability of minimal Lagrangian submanifolds

DOI10.2748/tmj/1113247128zbMath1050.53051OpenAlexW2022110564MaRDI QIDQ1876283

Bennett Palmer

Publication date: 16 August 2004

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/788ea5bc7c7500b9d496916d0839c4b8877e8229

zbMATH Keywords

stabilityminimal Lagrangian submanifoldbuckling eigenvalue

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Cites Work

• Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set
• Harmonic functions and the structure of complete manifolds
• Buckling eigenvalues, Gauss maps and Lagrangian submanifolds
• Hamiltonian minimality and Hamiltonian stability of Gauss maps
• Complete minimal surfaces in \(S^ 3\)
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• A Note on Inequalities for Plate Eigenvalues

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