In this paper, we will prove that a closed Möbius minimal and Möbius isotropic hypersurface without umbilic points in the unit sphere $ \mathbb{S}^{5} $ is Möbius equivalent to either the torus $ \mathbb{S}^{2}(\frac{1}{\sqrt{2}})\times\mathbb{S}^{2}(\frac{1}{\sqrt{2}})\rightarrow \mathbb{S}^{5} $ or the Cartan minimal hypersurface in $ \mathbb{S}^...

Classification of Möbius minimal and Möbius isotropic hypersurfaces in S5

10.3934/math.2021489