2 problems

Let $\Gamma\subset\mathbb{R}^3$ be a boundary consisting of two components $\Gamma_1$ and $\Gamma_2$, each a plane convex curve, with total boundary curvature at most $4\pi$. Assum…

Let $g$ be a genus and let a surface of genus $g$ have a conformal type called rectangular in the sense used for the quotient by the cyclic $(g+1)$-fold symmetry of Lawson's minima…