Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space
Differential Geometry
2010-08-17 v2
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.
Keywords
Cite
@article{arxiv.0906.4305,
title = {Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space},
author = {Henri Anciaux and Ildefonso Castro},
journal= {arXiv preprint arXiv:0906.4305},
year = {2010}
}
Comments
23 pages, 5 figures, Second version. Changes in statement and proof of Corollary 4