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Lagrangian submanifolds foliated by \((n-1)\)-spheres in \(\mathbb R^{2n}\) - MaRDI portal

Lagrangian submanifolds foliated by \((n-1)\)-spheres in \(\mathbb R^{2n}\) (Q2508644)

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Lagrangian submanifolds foliated by \((n-1)\)-spheres in \(\mathbb R^{2n}\)
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    Lagrangian submanifolds foliated by \((n-1)\)-spheres in \(\mathbb R^{2n}\) (English)
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    13 October 2006
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    In the paper under review the authors study the Lagrangian submanifolds of \(\mathbb{R}^{2n}\), \(n>3\) which are foliated by \((n-1)\)-spheres. They give a characterization of them as images of an immersion of a particular form involving as data a planar curve and an \(\mathbb{R}^{n}\)-valued curve.
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    Lagrangian submanifold
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    Hamiltonian stationary
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    self-similar
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