{ "id": "2306.11618", "version": "v1", "published": "2023-06-20T15:47:53.000Z", "updated": "2023-06-20T15:47:53.000Z", "title": "Rigidity Properties of Colding-Minicozzi Entropies", "authors": [ "Jacob Bernstein" ], "comment": "14 pages", "categories": [ "math.DG" ], "abstract": "We show certain rigidity for minimizers of generalized Colding-Minicozzi entropies. The proofs are elementary and work even in situations where the generalized entropies are not monotone along mean curvature flow.", "revisions": [ { "version": "v1", "updated": "2023-06-20T15:47:53.000Z" } ], "analyses": { "subjects": [ "53A07", "53A10" ], "keywords": [ "rigidity properties", "mean curvature flow", "generalized colding-minicozzi entropies", "minimizers", "situations" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }