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Timeline for Newlander-Nirenberg in dimension 2

Current License: CC BY-SA 3.0

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Jul 25, 2018 at 0:12 vote accept Misha Verbitsky
Jul 25, 2018 at 0:11 vote accept Misha Verbitsky
Jul 25, 2018 at 0:12
Apr 5, 2018 at 9:40 answer added Ben McKay timeline score: 0
Apr 13, 2017 at 12:58 history edited CommunityBot
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Nov 11, 2014 at 17:24 comment added Albuquerque There is a proof in the end of the first chapter of Donaldson and Kronheimer's "Geometry of 4-manifolds", if I remember well.
Oct 7, 2014 at 3:23 vote accept Misha Verbitsky
Jul 25, 2018 at 0:11
Oct 4, 2014 at 17:25 answer added dennis sullivan timeline score: 10
Mar 30, 2014 at 21:06 answer added Dror timeline score: 1
Mar 7, 2014 at 19:48 comment added Deane Yang Also, see mathoverflow.net/questions/28519/…
Mar 7, 2014 at 19:15 comment added Robert Bryant I don't know about `easiest', but the proof in Spivak's Comprehensive Introduction to Differential Geometry is not hard; he is able to cover what he needs from elliptic theory fairly quickly. Also, the weaker the assumptions about the regularity of the coefficients, the harder the proof becomes, so there are really several different theorems, depending on the regularity assumed for the coefficients. When the coefficients are real-analytic, Gauss' original proof (reducing it to complex ODE) works fine.
Mar 7, 2014 at 16:54 comment added Claudio Gorodski There is also Chern, Shiing-shen An elementary proof of the existence of isothermal parameters on a surface. Proc. Amer. Math. Soc. 6 (1955), 771–782.
Mar 7, 2014 at 16:43 comment added Mohan Ramachandran the most efficient proof I know uses some fourier analysis is due to Douady with Buff taking notes .
Mar 7, 2014 at 15:58 history asked Misha Verbitsky CC BY-SA 3.0