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Timeline for Holomorphic Gauss normal map

Current License: CC BY-SA 4.0

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Sep 10, 2023 at 12:28 vote accept Ali Taghavi
Sep 4, 2023 at 7:37 history edited Alexandre Eremenko CC BY-SA 4.0
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Sep 2, 2023 at 22:10 comment added Alexandre Eremenko @Vik78: I had a link to Wikipedia in my answer but somehow it does not show. Now I inserted it again.
Sep 2, 2023 at 22:09 history edited Alexandre Eremenko CC BY-SA 4.0
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Sep 2, 2023 at 21:22 comment added Ali Taghavi @Vik78 Thank you very much for very valuable answers of both of you which now completly solve my question.
Sep 2, 2023 at 21:10 comment added Vik78 Also, this paper (projecteuclid.org/journals/acta-mathematica/volume-223/issue-1/…) indicates that there are topological obstructions to a surface having a minimal embedding into $\mathbb{R}^3$. Every orientable surface has a complex structure and an embedding into $\mathbb{R}^3$ (mathoverflow.net/questions/112538/…), so this should give a negative answer to the noncompact case of the original question
Sep 2, 2023 at 21:02 comment added Vik78 I think the book is “A Survey of Minimal Surfaces”. What Wikipedia article do you mean?
Sep 2, 2023 at 20:06 comment added Ali Taghavi Thank you very much for this iinteresting interpretation in terms of minimal surfaces
Sep 2, 2023 at 19:42 history answered Alexandre Eremenko CC BY-SA 4.0