Construction of Hamiltonian-Minimal Lagrangian submanifolds in Complex Euclidean Space |
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| Authors: | Henri Anciaux Ildefonso Castro |
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| Affiliation: | 1. Universidade de S?o Paulo, IME, Bloco A, 1010 Rua do Mat?o, Cidade Universitária, 05508-090, S?o Paulo, Brazil
2. Departamento de Matemáticas, Campus Las Lagunillas B3-036, Universidad de Jaén, 23071, Jaén, Spain
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| Abstract: | We describe several families of Lagrangian submanifolds in 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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