{ "id": "1801.06959", "version": "v1", "published": "2018-01-22T05:44:16.000Z", "updated": "2018-01-22T05:44:16.000Z", "title": "Asymptotic behaviour of $Spin(7)$-instantons on Cylinder Manifolds", "authors": [ "Teng Huang" ], "comment": "submitted,22pages", "categories": [ "math.DG" ], "abstract": "In this article,we study the asymptotic behaviour of $Spin(7)$-instantons with square integrable curvature on the cylindrical over a compact $G_{2}$-manifold has fully holomony.We can prove that the instanton decays exponentially at the ends.", "revisions": [ { "version": "v1", "updated": "2018-01-22T05:44:16.000Z" } ], "analyses": { "keywords": [ "asymptotic behaviour", "cylinder manifolds", "square integrable curvature", "instanton decays" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }