Addendum: The case of closed surfaces: “Boundary value problems on planar graphs and flat surfaces with integer cone singularities. I: The Dirichlet problem”. (English) Zbl 1334.53028
Summary: We extend our discrete uniformization theorems for planar, \(m\)-connected, Jordan domains [the author, ibid. 670, 65–92 (2012; Zbl 1296.53077) to closed surfaces of genus \(m\geq 1\).
MSC:
| 53C21 | Methods of global Riemannian geometry, including PDE methods; curvature restrictions |
| 32Q30 | Uniformization of complex manifolds |
| 57M50 | General geometric structures on low-dimensional manifolds |
