{ "id": "math/0407241", "version": "v1", "published": "2004-07-14T09:14:44.000Z", "updated": "2004-07-14T09:14:44.000Z", "title": "A class of locally symmetric Kaehler Einstein structures on the cotangent bundle of a space form", "authors": [ "D. D. Porosniuc" ], "comment": "13 pages, LaTeX2e", "categories": [ "math.DG" ], "abstract": "We obtain a class of locally symmetric Kaehler Einstein structures on the cotangent bundle of a Riemannian manifold of negative sectional curvature. Similar results are obtained in the case of a Riemannian manifold of positive sectional curvature. The obtained class of Kaehler Einstein structures depends on one essential parameter and cannot have constant holomorphic sectional curvature.", "revisions": [ { "version": "v1", "updated": "2004-07-14T09:14:44.000Z" } ], "analyses": { "subjects": [ "53C07", "53C15", "53C55" ], "keywords": [ "locally symmetric kaehler einstein structures", "cotangent bundle", "space form", "constant holomorphic sectional curvature", "riemannian manifold" ], "note": { "typesetting": "LaTeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......7241P" } } }