On a new construction of special Lagrangian immersions in complex Euclidean space
Differential Geometry
2012-12-04 v1
Abstract
We construct new special Lagrangian submanifolds in complex Euclidean space using a pair of minimal Legendrian submanifolds in odd-dimensional spheres and certain Lagrangian surface belonging to a family that can be considered as a generalization of the special Lagrangian surfaces in complex Euclidean plane. Our examples include those invariant under the standard action of SO(p+1)xSO(q+1) on C^n = C^(p+1) x C^(q+1), n=p+q+2.
Keywords
Cite
@article{arxiv.math/0403108,
title = {On a new construction of special Lagrangian immersions in complex Euclidean space},
author = {Ildefonso Castro and Francisco Urbano},
journal= {arXiv preprint arXiv:math/0403108},
year = {2012}
}
Comments
18 pages, to appear in Quarterly Journal of Mathematics