On a new construction of special Lagrangian immersions in complex Euclidean space
Abstract
We construct new special Lagrangian submanifolds in complex Euclidean space using a pair of minimal Legendrian submanifolds in odddimensional 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:math/0403108
 Bibcode:
 2004math......3108C
 Keywords:

 Mathematics  Differential Geometry;
 53C42;
 35A20
 EPrint:
 18 pages, to appear in Quarterly Journal of Mathematics