Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space

Details Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space

2009-06-23

arxiv.org/abs/0906.4305v2

Mathematics

Differential Geometry

23 pages, 5 figures, Second version. Changes in statement and proof of Corollary 4

Scientific paper

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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