{ "id": "1705.06898", "version": "v1", "published": "2017-05-19T09:19:03.000Z", "updated": "2017-05-19T09:19:03.000Z", "title": "Yamabe Flow with prescribed scalar curvature", "authors": [ "Inas Amacha", "Rachid Regbaoui" ], "categories": [ "math.DG" ], "abstract": "In this work, we study the Yamabe flow corresponding to the prescribed scalar curvature problem on compact Riemannian manifolds with negative scalar curvature. The long time existence and convergence of the flow are proved under appropriate conditions on the prescribed scalar curvature function.", "revisions": [ { "version": "v1", "updated": "2017-05-19T09:19:03.000Z" } ], "analyses": { "subjects": [ "35K55", "58J35", "53A30" ], "keywords": [ "yamabe flow", "prescribed scalar curvature function", "compact riemannian manifolds", "prescribed scalar curvature problem", "long time existence" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }