2021/03/19 by Muñiz, Richard, Verjovsky, Alberto · 1 citation
#53C12 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2103.10880
We give a new proof of the uniformization theorem of the leaves of a lamination by surfaces of hyperbolic conformal type. We use a laminated version of the Ricci flow to prove the existence of a laminated Riemannian metric (smooth on the leaves, transversaly continuous) with leaves of constant Gaussian curvature equal to -1, which is conformally equivalent to the original metric.