2 problems

Let $M\subset\mathbb{R}^3$ be a connected, complete embedded minimal surface of finite genus with compact, possibly empty, boundary. Embedded Calabi–Yau conjecture for finite genus…

Let $(M^{4n}, g, I, J)$ be a nondegenerate generalized Kähler manifold, and consider its $\Omega$-Hamiltonian deformation class. Generalized Kähler Calabi–Yau conjecture. There exi…