2 problems

Let $\mathcal E$ be the spinor bundle over a sphere, let $\mathcal D$ be a Dirac operator on $\mathcal E$, and write $U(z,\bar z)$ for its potential in a Weierstrass representation…

Let $\Sigma$ be a sphere immersed in $\mathbf{R}^3$, let $\mathcal D$ be a Dirac operator acting on a spinor bundle over $\Sigma$, and let $\mathcal W(\Sigma)$ denote the Willmore…