{ "id": "1512.03374", "version": "v1", "published": "2015-12-10T19:30:34.000Z", "updated": "2015-12-10T19:30:34.000Z", "title": "Harnack inequalities for evolving hypersurfaces on the sphere", "authors": [ "Paul Bryan", "Mohammad N. Ivaki", "Julian Scheuer" ], "comment": "18 pages", "categories": [ "math.DG", "math.AP" ], "abstract": "We prove Harnack inequalities for hypersurfaces evolving on the unit sphere either by a 1-homogeneous convex curvature function or by the $p$-power of mean curvature with $0