Willmore energy:
W = ∫H²dA ≥ 4π
Minimum at 4π: round sphere.
For tori: W(Clifford) = 2π²
Willmore conjecture (1965):
min W(torus) = 2π²
Proved by Marques-Neves 2012!
Current W: —
W/4π: —
W = ∫H²dA ≥ 4π
Minimum at 4π: round sphere.
For tori: W(Clifford) = 2π²
Willmore conjecture (1965):
min W(torus) = 2π²
Proved by Marques-Neves 2012!
Current W: —
W/4π: —