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Jun 3, 2022 at 0:17 answer added Daniel Asimov timeline score: 2
Jun 2, 2022 at 21:27 history edited Daniel Asimov CC BY-SA 4.0
Added condition Im(z) > 0.
Jun 2, 2022 at 18:29 comment added Daniel Asimov Mikhail Borovoi — I am using the fact that any complete connected oriented Riemannian surface is conformally equivalent to a unique Riemann surface.
Jun 2, 2022 at 18:06 history edited Daniel Asimov CC BY-SA 4.0
added 38 characters in body
Jun 2, 2022 at 17:31 comment added M.G. @MikhailBorovoi: I've seen the terminology "Riemannian surface" being used to signify the latter object, which can be mighty confusing, especially since this distinction is not preserved well under translation into various other languages. And yet the terminology gets translated that way, and attempts to translate back to English make the situation even messier :)
Jun 2, 2022 at 17:12 comment added Mikhail Borovoi I would say that a Riemann surface is a surface with a complex structure, not a surface with a Riemannian metric.
Jun 2, 2022 at 16:48 history asked Daniel Asimov CC BY-SA 4.0