{ "id": "math/0209259", "version": "v1", "published": "2002-09-20T14:47:35.000Z", "updated": "2002-09-20T14:47:35.000Z", "title": "Families of strong KT structures in six dimensions", "authors": [ "Anna Fino", "Maurizio Parton", "Simon Salamon" ], "journal": "Comment. Math. Helv. 79 (2004) 317-340", "categories": [ "math.DG" ], "abstract": "This paper classifies Hermitian structures on 6-dimensional nilmanifolds M=G/L for which the fundamental 2-form is d d-bar closed, a condition that is shown to depend only on the underlying complex structure J of M. The space of such J is described when G is the complex Heisenberg group, and explicit solutions are obtained from a limacon-shaped curve in the complex plane. Related theory provides examples of various types of Ricci-flat structures.", "revisions": [ { "version": "v1", "updated": "2002-09-20T14:47:35.000Z" } ], "analyses": { "subjects": [ "53C55", "32G05", "17B30", "81T30" ], "keywords": [ "strong kt structures", "dimensions", "paper classifies hermitian structures", "complex heisenberg group", "ricci-flat structures" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......9259F" } } }