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- W4297079441 abstract "Hamiltonian stationary Lagrangian submanifolds (HSLAG) are a natural generalization of special Lagrangian manifolds (SLAG). The latter only make sense on Calabi-Yau manifolds whereas the former are defined for any almost Kahler manifold. Special Lagrangians, and, more specificaly, fibrations by special Lagrangians play an important role in the context of the geometric mirror symmetry conjecture. However, these objects are rather scarce in nature. On the contrary, we show that HSLAG submanifolds, or fibrations, arise quite often. Many examples of HSLAG fibrations are provided by toric Kah-ler geometry. In this paper, we obtain a large class of examples by deforming the toric metrics into non toric almost Kahler metrics, together with HSLAG submanifolds." @default.
- W4297079441 created "2022-09-26" @default.
- W4297079441 creator A5032412764 @default.
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- W4297079441 date "2016-06-19" @default.
- W4297079441 modified "2023-10-02" @default.
- W4297079441 title "Hamiltonian stationary Lagrangian fibrations" @default.
- W4297079441 doi "https://doi.org/10.48550/arxiv.1606.05886" @default.
- W4297079441 hasPublicationYear "2016" @default.
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