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math.CV2021
Two-dimensional metric spheres from gluing hemispheres
Toni Ikonen
We study metric spheres Z obtained by gluing two hemispheres of the Euclidean sphere along an orientation-preserving homeomorphism mapping the equator onto itself, where the distan…
math.CV2019
Uniformization Of Metric Surfaces Using Isothermal Coordinates
Toni Ikonen
We establish a uniformization result for metric surfaces - metric spaces that are topological surfaces with locally finite Hausdorff 2-measure. Using the geometric definition of qu…