Resumen de On the Moebius deformable hypersurfaces

Miguel Ibieta Jimenez, Ruy Tojeiro

• Li, Ma and Wang [Adv. Math. 256 (2014), 156–205] have investigated the interesting class of Moebius deformable hypersurfaces, that is, the umbilic-free Euclidean hypersurfaces f:M n →R n+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.