Integral geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in \(S^ 2\times S^ 2\).
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Publication:595971
DOI10.3792/pjaa.79.167zbMath1055.53063arXivmath/0310432OpenAlexW2013925757MaRDI QIDQ595971
Hiroshi Iriyeh, Takashi Sakai, Hajime Ono
Publication date: 6 August 2004
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0310432
Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40)
Related Items (7)
Almost all Lagrangian torus orbits in \(\mathbb CP^n\) are not Hamiltonian volume minimizing ⋮ Hamiltonian stability of Lagrangian tori in toric Kähler manifolds ⋮ Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type ⋮ Fundamental theorems of Lagrangian surfaces in \(S^{2}\times S^{2}\) ⋮ Tight Lagrangian surfaces in \(S ^{2} \times S ^{2}\) ⋮ A kinematic formula for integral invariant of degree 4 in real space form ⋮ Tight Lagrangian homology spheres in compact homogeneous Kähler manifolds
Cites Work
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- Integral geometry on product of spheres
- Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
- The kinematic formula in Riemannian homogeneous spaces
- Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I
- Addendum to “Floer Cohomology of Lagrangian Intersections and Pseudo‐Holomorphic Discs, I”
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