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math.DG2022
Infinite energy harmonic maps from Riemann surfaces to CAT(0) spaces
Georgios Daskalopoulos, Chikako Mese
We present some results about harmonic maps with possibly infinite energy from punctured Riemann surfaces to CAT(0) spaces. In particular, we give precise estimates of their energy…
math.DG2022
Analytic properties of Stretch maps and geodesic laminations
Georgios Daskalopoulos, Karen Uhlenbeck
In a 1998 preprint, Bill Thurston outlined a Teichmuller theory for hyperbolic surfaces based on maps between surfaces which minimize the Lipschitz constant (minimum stretch or bes…