{ "id": "0810.3883", "version": "v1", "published": "2008-10-21T17:41:21.000Z", "updated": "2008-10-21T17:41:21.000Z", "title": "A note on sigular time of mean curvature flow", "authors": [ "Jingyi Chen", "Weiyong He" ], "categories": [ "math.DG", "math.AP" ], "abstract": "We show that mean curvature flow of a compact submanifold in a complete Riemannian manifold cannot form singularity at time infinity if the ambient Riemannian manifold has bounded geometry and satisfies certain curvature and volume growth conditions .", "revisions": [ { "version": "v1", "updated": "2008-10-21T17:41:21.000Z" } ], "analyses": { "keywords": [ "mean curvature flow", "sigular time", "complete riemannian manifold", "volume growth conditions", "ambient riemannian manifold" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0810.3883C" } } }