{ "id": "math/0411271", "version": "v3", "published": "2004-11-11T21:17:23.000Z", "updated": "2005-02-21T16:59:33.000Z", "title": "A remark on Kähler metrics of constant scalar curvature on ruled complex surfaces", "authors": [ "Vestislav Apostolov", "Christina W. Tønnesen-Friedman" ], "comment": "Corrected typos, updated references", "categories": [ "math.DG", "math.AG" ], "abstract": "We point out how some recent developments in the theory of constant scalar curvature K\\\"ahler metrics can be used to clarify the existence issue for such metrics in the special case of geometrically ruled complex surfaces.", "revisions": [ { "version": "v3", "updated": "2005-02-21T16:59:33.000Z" } ], "analyses": { "subjects": [ "53C55", "32J15" ], "keywords": [ "constant scalar curvature", "kähler metrics", "geometrically ruled complex surfaces", "special case", "existence issue" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....11271A" } } }