Hamiltonian-minimal Lagrangian submanifolds in complex space forms
微分几何
2012-12-04 v1
摘要
Using Legendrian immersions and, in particular, Legendre curves in odd dimensional spheres and anti De Sitter spaces, we provide a method of construction of new examples of Hamiltonian-minimal Lagrangian submanifolds in complex projective and hyperbolic spaces, including explicit one parameter families of embeddings of quotients of certain product manifolds. In addition, new examples of minimal Lagrangian submanifolds in complex projective and hyperbolic spaces also appear. Making use of all of them, we get Hamiltonian-minimal and special Lagrangian cones in complex Euclidean space too.
引用
@article{arxiv.math/0412046,
title = {Hamiltonian-minimal Lagrangian submanifolds in complex space forms},
author = {Ildefonso Castro and Haizhong Li and Francisco Urbano},
journal= {arXiv preprint arXiv:math/0412046},
year = {2012}
}
备注
28 pages