A Möbius scalar curvature rigidity on compact conformally flat hypersurfaces in ${\mathbb{S}}^{n+1}$

Limiao Lin, Tongzhu Li, Changping Wang

In this paper, we study conformally flat hypersurfaces of dimension $n(\ge 4)$ in ${\mathbb{S}}^{n+1}$ using the framework of Möbius geometry. First, we classify and explicitly expr…