{ "id": "0809.1992", "version": "v1", "published": "2008-09-11T13:14:42.000Z", "updated": "2008-09-11T13:14:42.000Z", "title": "g-Natural metrics of constant sectional curvature", "authors": [ "S. Degla", "J. -P. Ezin", "L. Todjihounde" ], "categories": [ "math.DG" ], "abstract": "We prove that the tangent bundle endowed with a g-natural metrics has constant sectional curvature if and only if it is flat, and then we give a characterization of flat g-natural metrics on tangent bundles.", "revisions": [ { "version": "v1", "updated": "2008-09-11T13:14:42.000Z" } ], "analyses": { "subjects": [ "53B20", "53C07" ], "keywords": [ "constant sectional curvature", "flat g-natural metrics", "tangent bundle", "characterization" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0809.1992D" } } }