Perdomo's conjecture on the total curvature of minimal hypersurfaces
Perdomo's conjecture. One has σ≥n\sigma\ge nσ≥n. Moreover, σ=n\sigma=nσ=n if and only if ∣A∣2≡n\left\lvert A\right\rvert^2\equiv n∣A∣2≡n and MMM is a Clifford torus.