{ "id": "1208.2718", "version": "v3", "published": "2012-08-13T21:54:58.000Z", "updated": "2012-12-03T20:08:50.000Z", "title": "Long time existence of Minimizing Movement solutions of Calabi flow", "authors": [ "Jeff Streets" ], "comment": "2 figures, some corrections made", "categories": [ "math.DG", "math.AP" ], "abstract": "We recast the Calabi flow in DeGiorgi's language of minimizing movements. We establish the long time existence of minimizing movements for K-energy with arbitrary initial condition. Furthermore we establish some a priori regularity of these solutions, and that sufficiently regular minimizing movements are smooth solutions to Calabi flow.", "revisions": [ { "version": "v3", "updated": "2012-12-03T20:08:50.000Z" } ], "analyses": { "keywords": [ "long time existence", "calabi flow", "minimizing movement solutions", "arbitrary initial condition", "sufficiently regular minimizing movements" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.2718S" } } }