Hamiltonian stationary tori in Kähler manifolds
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Publication:453745
DOI10.1007/s00526-011-0451-6zbMath1251.53048arXiv0811.2829OpenAlexW2035083741MaRDI QIDQ453745
Justin Corvino, Adrian Butscher
Publication date: 27 September 2012
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.2829
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)
Related Items (5)
On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces ⋮ Contact stationary Legendrian surfaces in \(\mathbb S^5\) ⋮ Rigidity of closed CSL submanifolds in the unit sphere ⋮ The existence of Hamiltonian stationary Lagrangian tori in Kähler manifolds of any dimension ⋮ On Hamiltonian minimal submanifolds in the space of oriented geodesics in real space forms
Cites Work
- Foliation by constant mean curvature spheres
- Constant mean curvature spheres in Riemannian manifolds
- Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
- Hamiltonian stationary Lagrangian surfaces in \(\mathbb{C}^2\)
- Minimizing area among Lagrangian surfaces: the mapping problem.
- Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
- On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds
- Hamiltonian stationary tori in the complex projective plane
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