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arXiv · 0906.4305

Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space

Henri Anciaux·Ildefonso Castro
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Abstract

We describe several families of Lagrangian submanifolds in the complex Euclidean space which are H-minimal, i.e. critical points of the volume functional restricted to Hamiltonian variations. We make use of various constructions involving planar, spherical and hyperbolic curves, as well as Legendrian submanifolds of the odd-dimensional unit sphere.

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Henri Anciaux, Ildefonso Castro. 2010-08-14. Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space. https://arxiv.org/abs/0906.4305

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