{ "id": "2109.11197", "version": "v1", "published": "2021-09-23T08:07:42.000Z", "updated": "2021-09-23T08:07:42.000Z", "title": "A new gap for $CMC$ biharmonic hypersurfaces in Euclidean spheres", "authors": [ "Simona Nistor" ], "comment": "11 pages", "categories": [ "math.DG" ], "abstract": "In this note we improve a gap result concerning the range of the mean curvature of complete $CMC$ proper-biharmonic hypersurfaces in unit Euclidean spheres.", "revisions": [ { "version": "v1", "updated": "2021-09-23T08:07:42.000Z" } ], "analyses": { "subjects": [ "53C42", "53C21", "53C40", "53C24" ], "keywords": [ "unit euclidean spheres", "mean curvature", "proper-biharmonic hypersurfaces", "gap result concerning" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }