Tight Lagrangian submanifolds in \({\mathbb{C}}P^ n\)

DOI10.1007/BF02571398zbMath0713.53032MaRDI QIDQ1812966

Yong-Geun Oh

Publication date: 25 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174279

zbMATH Keywords

Lagrangian submanifoldstightnessHermitian symmetrix spacestotally geodesic embeddings

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40)

Related Items (7)

Hamiltonian stability of certain minimal Lagrangian submanifolds in complex projective spaces ⋮ The (𝑀₊,𝑀₋)-method on compact symmetric spaces and its applications ⋮ Infinitesimally tight Lagrangian orbits ⋮ The intersection of two real forms in the complex hyperquadric ⋮ The intersection of two real forms in Hermitian symmetric spaces of compact type ⋮ Lifting Lagrangian immersions in \(\mathbb{C}P^{n-1}\) to Lagrangian cones in \(\mathbb{C}^n\) ⋮ Tight Lagrangian homology spheres in compact homogeneous Kähler manifolds

Cites Work

• Lagrangian submanifolds and Hamiltonian systems
• Reduction of symplectic manifolds with symmetry
• Minimal varieties in Riemannian manifolds
• Minimal total absolute curvature for immersions
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds

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