A new characterization for Clifford hypersurfaces

Qing Cui, Carlos Peñafiel

For a closed minimal immersed hypersurface $M$ in ${\mathbb{S}}^{n+1}$ with second fundamental form $A$, and each integer $k\ge 2$, define a constant $σ_k=\dfrac{\int_M (|A|^2)^k}{|M|…