The existence of Hamiltonian stationary Lagrangian tori in Kähler manifolds of any dimension
From MaRDI portal
Publication:453749
DOI10.1007/s00526-011-0457-0zbMath1251.53050arXiv1001.3861OpenAlexW2094740617MaRDI QIDQ453749
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/1001.3861
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 (4)
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 ⋮ On Hamiltonian minimal submanifolds in the space of oriented geodesics in real space forms
Cites Work
- Hamiltonian stationary tori in Kähler manifolds
- Foliation by constant mean curvature spheres
- Foliations by constant mean curvature tubes
- Blow-up phenomena for the Yamabe equation. II
- Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
- Hamiltonian stationary Lagrangian surfaces in \(\mathbb{C}^2\)
- Minimizing area among Lagrangian surfaces: the mapping problem.
- Hamiltonian stability of certain minimal Lagrangian submanifolds in complex projective spaces
- Special Lagrangian submanifolds with isolated conical singularities. I: Regularity
- Embedded special Lagrangian submanifolds in Calabi-Yau manifolds
- Constant mean curvature hypersurfaces condensing on a submanifold
- Holomorphic bisectional curvature
- Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
- Blow-up phenomena for the Yamabe equation
- On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds
- Hamiltonian stationary tori in the complex projective plane
- Corrigenda to: Introduction to Symplectic Topology
This page was built for publication: The existence of Hamiltonian stationary Lagrangian tori in Kähler manifolds of any dimension
