{ "id": "1712.05095", "version": "v1", "published": "2017-12-14T05:27:37.000Z", "updated": "2017-12-14T05:27:37.000Z", "title": "Compactness of Kähler metrics with bounds on Ricci curvature and I functional", "authors": [ "Xiuxiong Chen", "Tamás Darvas", "Weiyong He" ], "categories": [ "math.DG", "math.AP", "math.CV" ], "abstract": "We prove a compactness theorem for K\\\"ahler metrics with various bounds on Ricci curvature and the $\\mathcal I$ functional. We explore applications of our result to the continuity method and the Calabi flow.", "revisions": [ { "version": "v1", "updated": "2017-12-14T05:27:37.000Z" } ], "analyses": { "keywords": [ "ricci curvature", "kähler metrics", "functional", "compactness theorem" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }