Abstract:Li, Ma and Wang have provided in [13] a partial classification of the so-called Moebius deformable hypersurfaces, that is, the umbilic-free Euclidean hypersurfaces
$f\colon M^n\to \mathbb{R}^{n+1}$
that admit non-trivial deformations preserving the Moebius metric. For
$n\geq 5$
, the classification was completed by the authors in [12]. In this article we obtain an infinitesimal version of that classification. Namely, we introduce the notion of an infinites… Show more
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