{ "id": "math/0403108", "version": "v1", "published": "2004-03-05T10:25:51.000Z", "updated": "2004-03-05T10:25:51.000Z", "title": "On a new construction of special Lagrangian immersions in complex Euclidean space", "authors": [ "Ildefonso Castro", "Francisco Urbano" ], "comment": "18 pages, to appear in Quarterly Journal of Mathematics", "journal": "Quart. J. Math. 55 (2004), 253-265", "categories": [ "math.DG" ], "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.", "revisions": [ { "version": "v1", "updated": "2004-03-05T10:25:51.000Z" } ], "analyses": { "subjects": [ "53C42", "35A20" ], "keywords": [ "complex euclidean space", "special lagrangian immersions", "construction", "complex euclidean plane", "special lagrangian submanifolds" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......3108C" } } }