arXiv:0906.4305 Abstract | arXiv Analytics

arXiv:0906.4305 [math.DG]Abstract References Reviews Resources

Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space

Published 2009-06-23, updated 2010-08-14Version 2

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.

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

Categories: math.DG

Subjects: 53C42, 53D12, 53A07

Keywords: complex euclidean space, hamiltonian-minimal lagrangian submanifolds, construction, odd-dimensional unit sphere, legendrian submanifolds

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