2 problems

Let $V$ be the compact complex manifold underlying the forms in the statement, let $R$ be a compact Riemann surface with boundary, and let $\rho:V\times\partial R\to\mathbf{R}$ sat…

Let $X$ be a compact Kähler manifold, let $\varphi(t)$ solve the parabolic complex Monge–Ampère equation associated with the Kähler-Ricci flow, and suppose the solution exists on…