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Mar 22, 2011 at 3:17 comment added macbeth Do you need some boundedness conditions on the "$C^2$ surface in $\mathbb{R}^3$ with parameter domain the unit disk" you permit? Otherwise, you might end up with surfaces like the plane, which cannot be put into global isothermal co-ordinates with domain the disc (although of course it admits local isothermal co-ordinates).
Mar 15, 2011 at 2:37 answer added Anton Petrunin timeline score: 4
Mar 14, 2011 at 23:31 history asked Michael Beeson CC BY-SA 2.5