{ "id": "2112.04834", "version": "v2", "published": "2021-12-09T11:02:42.000Z", "updated": "2022-04-12T08:43:03.000Z", "title": "Kähler tori with almost non-negative scalar curvature", "authors": [ "Jianchun Chu", "Man-Chun Lee" ], "comment": "13 pages, minor mistakes corrected", "categories": [ "math.DG" ], "abstract": "Motivated by the torus stability problem, in this work we study K\\\"ahler metrics with almost non-negative scalar curvature on complex torus. We prove that after passing to a subsequence, non-collapsing sequence of K\\\"ahler metrics with almost non-negative scalar curvature will converge to flat torus weakly.", "revisions": [ { "version": "v2", "updated": "2022-04-12T08:43:03.000Z" } ], "analyses": { "keywords": [ "non-negative scalar curvature", "kähler tori", "torus stability problem", "flat torus", "complex torus" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }