2022/08/16 by M. I. Jimenez, R. Tojeiro, Jimenez, M. I. +1
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2208.07490
In the article [Deformations of hypersurfaces preserving the Möbius metric and a reduction theorem, Adv. Math. 256 (2014), 156--205], Li, Ma and Wang investigated the interesting class of Moebius deformable hypersurfaces, that is, the umbilic-free Euclidean hypersurfaces f\colon Mn→ ℝn+1 that admit non-trivial deformations preserving the Moebius metric. The classification of Moebius deformable hypersurfaces of dimension n≥ 4 stated in the aforementioned article, however, misses a large class of examples. In this article we complete that classification for n≥ 5.