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On the Moebius deformable hypersurfaces

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Author(s):
Jimenez, Miguel Ibieta ; Tojeiro, Ruy
Total Authors: 2
Document type: Journal article
Source: REVISTA MATEMATICA IBEROAMERICANA; v. 40, n. 2, p. 18-pg., 2024-01-01.
Abstract

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 -> 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. (AU)

FAPESP's process: 22/05321-9 - On deformation of submanifolds
Grantee:Miguel Ibieta Jimenez
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis
Grantee:Paolo Piccione
Support Opportunities: Research Projects - Thematic Grants