Conformal maximality conjecture for free boundary harmonic annuli
For any T⩾T1T\geqslant T_1T⩾T1, let AT=[0,T]×S1\mathbb{A}_T=[0,T]\times\mathbb{S}^1AT=[0,T]×S1 and let CT\mathcal{C}_TCT be the conformal class containing the flat metric on [0,T]×S1[0,T]\times\mathbb{S}^1[0,T]×S1. Let…