Hamiltonian stability of Lagrangian tori in toric Kähler manifolds (Q885812)
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scientific article; zbMATH DE number 5164783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hamiltonian stability of Lagrangian tori in toric Kähler manifolds |
scientific article; zbMATH DE number 5164783 |
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Hamiltonian stability of Lagrangian tori in toric Kähler manifolds (English)
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14 June 2007
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The author derives a necessary and sufficient condition for Hamiltonian stability of a regular \(T^n\)-orbit of a compact \(n\)-dimensional toric Kähler manifold. Using this he shows that any regular \(T^n\)-orbit of the complex projective space endowed with the Fubini-Study metric is a locally Hamiltonian volume minimizing Lagrangian submanifold.
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Lagrangian submanifold
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toric Kähler manifold
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Hamiltonian stability
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