Classification of Hypersurfaces with Two Distinct Principal Curvatures and Closed Moebius Form in ${\mathbb{S}}^{m+1}$

Limiao Lin, Zhen Guo

Let $x$ be an $m$-dimensional umbilic-free hypersurface in an $(m+1)$-dimensional unit sphere ${\mathbb{S}}^{m+1}(m\ge 3)$. One of important questions is to classify hypersurfaces wi…