Uniformization of metric surfaces using isothermal coordinates
Keyword(s):
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 quasiconformality, we show that a metric surface that can be covered by quasiconformal images of Euclidean domains is quasiconformally equivalent to a Riemannian surface. To prove this, we construct an atlas of suitable isothermal coordinates.
2013 ◽
Vol 27
(2)
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pp. 447-460
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2016 ◽
Vol 25
(07)
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pp. 1650081
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2007 ◽
Vol 136
(03)
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pp. 1029-1034
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2017 ◽
Vol 60
(1)
◽
pp. 77-94
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Keyword(s):
2017 ◽
Vol 20
(K2)
◽
pp. 107-116
Keyword(s):
Keyword(s):