{ "id": "math/0411254", "version": "v1", "published": "2004-11-11T12:17:59.000Z", "updated": "2004-11-11T12:17:59.000Z", "title": "Hermitian structures on six dimensional nilmanifolds", "authors": [ "Luis Ugarte" ], "comment": "LaTeX, 24 pages, 1 figure", "categories": [ "math.DG" ], "abstract": "Let (J,g) be a Hermitian structure on a compact nilmanifold M with invariant complex structure J and compatible metric g, which is not required to be invariant. We give classifications of 6-dimensional nilmanifolds M admitting strong K\\\"ahler with torsion, balanced or locally conformal K\\\"ahler structures (J,g).", "revisions": [ { "version": "v1", "updated": "2004-11-11T12:17:59.000Z" } ], "analyses": { "subjects": [ "53C55", "17B30", "32G05" ], "keywords": [ "hermitian structure", "dimensional nilmanifolds", "invariant complex structure", "compact nilmanifold", "compatible metric" ], "note": { "typesetting": "LaTeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....11254U" } } }