Cyclic Lagrangian submanifolds and Lagrangian fibrations

DOI10.3836/tjm/1244208279zbMath1089.53053OpenAlexW2078013828WikidataQ125697815 ScholiaQ125697815MaRDI QIDQ2566542

Hajime Ono

Publication date: 26 September 2005

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208279

zbMATH Keywords

Ricci curvatureKähler manifoldsymplectic manifoldLagrangian manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lagrangian submanifolds; Maslov index (53D12)

Cites Work

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• Connections of Berry and Hannay type for moving Lagrangian submanifolds
• Calibrated geometries
• Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
• Mean curvature vector and symplectic topology of Lagrangian submanifolds in Einstein-Kähler manifolds
• Calibrated fibrations on noncompact manifolds via group actions
• On global action-angle coordinates
• Quantization and unitary representations

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