On the Moebius deformable hypersurfaces

• Miguel Ibieta Jimenez ^[1] ; Ruy Tojeiro ^[1]
  1. [1] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 2, 2024, págs. 463-480
• Idioma: inglés
• DOI: 10.4171/RMI/1437
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• Resumen

  • 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.