{ "id": "0812.2743", "version": "v1", "published": "2008-12-15T08:25:07.000Z", "updated": "2008-12-15T08:25:07.000Z", "title": "Geometric Realizations of Hermitian curvature models", "authors": [ "M. Brozos-Vazquez", "P. Gilkey", "H. Kang", "S. Nikcevic" ], "categories": [ "math.DG" ], "abstract": "We show that a Hermitian algebraic curvature model satisfies the Gray identity if and only if it is geometrically realizable by a Hermitian manifold. Furthermore, such a curvature model can in fact be realized by a Hermitian manifold of constant scalar curvature and constant *-scalar curvature which satisfies the Kaehler condition at the point in question.", "revisions": [ { "version": "v1", "updated": "2008-12-15T08:25:07.000Z" } ], "analyses": { "subjects": [ "53B20" ], "keywords": [ "hermitian curvature models", "geometric realizations", "hermitian algebraic curvature model satisfies", "hermitian manifold", "constant scalar curvature" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0812.2743B" } } }