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arXiv:math/0403108 [math.DG]AbstractReferencesReviewsResources

On a new construction of special Lagrangian immersions in complex Euclidean space

Ildefonso Castro, Francisco Urbano

Published 2004-03-05Version 1

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.

Comments: 18 pages, to appear in Quarterly Journal of Mathematics
Journal: Quart. J. Math. 55 (2004), 253-265
Categories: math.DG
Subjects: 53C42, 35A20
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