Lagrangian submanifolds foliated by (n-1)-spheres in R^2n

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We study Lagrangian submanifolds foliated by (n-1)-spheres in R^2n for n>2. We give a parametrization valid for such submanifolds, and refine that description when the submanifold is special Lagrangian, self-similar or Hamiltonian stationary. In all these cases, the submanifold is centered, i.e. invariant under the action of SO(n). It suffices then to solve a simple ODE in two variables to describe the geometry of the solutions.

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Differential Geometry, Primary 53D12; Secondary 53C42

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http://salesiana.dossiersoluciones.com/handle/123456789/69986

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401372
 http://arxiv.org/abs/math/0401372

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arXiv