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Exact Hessian Cancellation and Quartic Nondegeneracy at the Round Circle
We study the decomposed Möbius energies $E_1$ and $E_2$ at the round circle and determine their complete normal Hessians: $H_1(C)=2π(|D_s|^3-|D_s|)I_2$ and $H_2(C)=-(4π/3)(|D_s|^3-|D_s|)I_2$. Thus $H_1(C)=3H_E(C)$ and $H_2(C)=-2H_E(C)$, where $H_E(C)$ is the Hessian of the full Möbius energy. This e
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