Editing Uniformization theorem (section)

===Nonlinear differential equations===

'''Beltrami's equation'''

*{{citation|last=Ahlfors|first= Lars V.|title= Lectures on quasiconformal mappings|edition=2nd|series= University Lecture Series|volume= 38|publisher= American Mathematical Society|year= 2006|isbn=978-0-8218-3644-6}}
*{{citation|last1=Ahlfors|first1= Lars V.|last2= Bers|first2= Lipman|title= Riemann's mapping theorem for variable metrics|journal= Ann. of Math. |volume= 72|issue= 2|year=  1960|pages= 385–404|doi=10.2307/1970141|jstor= 1970141}}
*{{citation|last=Bers|first= Lipman|title= Simultaneous uniformization|journal= Bull. Amer. Math. Soc.|volume= 66|issue= 2|year= 1960|pages= 94–97|doi=10.1090/s0002-9904-1960-10413-2|doi-access= free|url= https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society/volume-66/issue-2/Simultaneous-uniformization/bams/1183523461.pdf}}
*{{citation|last=Bers|first= Lipman|title=Uniformization by Beltrami equations|journal=Comm. Pure Appl. Math.|volume= 14|issue= 3|year= 1961|pages= 215–228|doi=10.1002/cpa.3160140304}}
*{{Citation | last1=Bers | first1=Lipman|author-link=Lipman Bers | title=Uniformization, moduli, and Kleinian groups | doi=10.1112/blms/4.3.257  | mr=0348097 | year=1972 | journal=The Bulletin of the London Mathematical Society | issn=0024-6093 | volume=4 | issue=3 | pages=257–300}}

'''Harmonic maps'''

*{{citation|last=Jost|first= Jürgen |title=Compact Riemann surfaces: an introduction to contemporary mathematics|edition=3rd|publisher= Springer|year=2006|isbn= 978-3-540-33065-3}}

'''Liouville's equation'''

*{{citation|last=Berger|first= Melvyn S.|title=Riemannian structures of prescribed Gaussian curvature for compact 2-manifolds|journal=Journal of Differential Geometry|volume= 5|issue= 3–4|year=1971|pages=325–332|doi= 10.4310/jdg/1214429996|doi-access=free}}
*{{citation|last=Berger|first= Melvyn S.|title=Nonlinearity and functional analysis|publisher=Academic Press|year=1977|isbn= 978-0-12-090350-4}}
*{{citation|last=Taylor|first= Michael E.|title= Partial differential equations III. Nonlinear equations |edition=2nd|series= Applied Mathematical Sciences|volume= 117|publisher=Springer|year= 2011|isbn= 978-1-4419-7048-0}}

'''Flows on Riemannian metrics'''

*{{citation|last=Hamilton|first= Richard S.|chapter= The Ricci flow on surfaces|title=Mathematics and general relativity (Santa Cruz, CA, 1986)|pages= 237–262|series=Contemp. Math.|volume= 71|publisher= American Mathematical Society|year= 1988}}
*{{citation|last=Chow|first= Bennett|title=The Ricci flow on the 2-sphere|journal=J. Differential Geom.|volume= 33|issue= 2|year=1991|pages= 325–334|doi= 10.4310/jdg/1214446319|doi-access= free}}
*{{citation|last1=Osgood|first1= B.|last2= Phillips|first2= R.|last3=Sarnak|first3=P.|title=Extremals of determinants of Laplacians|journal=J. Funct. Anal.|volume= 80|year=1988|pages= 148–211|doi=10.1016/0022-1236(88)90070-5|citeseerx=10.1.1.486.558}}
*{{citation|first=P. |last=Chrusciel|title= Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation|journal= Communications in Mathematical Physics|volume= 137|issue=2|year=1991|pages= 289–313|doi=10.1007/bf02431882|bibcode=1991CMaPh.137..289C|citeseerx=10.1.1.459.9029|s2cid=53641998}}
*{{citation|last=Chang|first=Shu-Cheng|title=Global existence and convergence of solutions of Calabi flow on surfaces of genus ''h''&nbsp;≥&nbsp;2|journal=J. Math. Kyoto Univ.|volume= 40|issue=2|year=2000|pages= 363–377|doi=10.1215/kjm/1250517718|doi-access=free}}
*{{citation|last=Brendle|first= Simon|title= Ricci flow and the sphere theorem|series=Graduate Studies in Mathematics|volume= 111|publisher= American Mathematical Society|year= 2010|isbn= 978-0-8218-4938-5}} 
*{{Citation | last1=Chen | first1=Xiuxiong | last2=Lu | first2=Peng | last3=Tian | first3=Gang | author3-link=Gang Tian | title=A note on uniformization of Riemann surfaces by Ricci flow | doi=10.1090/S0002-9939-06-08360-2 | mr=2231924 | year=2006 | journal=[[Proceedings of the American Mathematical Society]] | issn=0002-9939 | volume=134 | issue=11 | pages=3391–3393| doi-access=free }}
*{{citation|last1=Andrews|first1=Ben|last2=Bryan|first2=Paul|title=Curvature bounds by isoperimetric comparison for normalized Ricci flow on the two-sphere|journal=Calc. Var. Partial Differential Equations|volume= 39|issue=3–4|year=2010|pages= 419–428|doi=10.1007/s00526-010-0315-5|arxiv=0908.3606|s2cid=1095459}}
*{{citation|last1=Mazzeo|first1=Rafe|last2= Taylor|first2= Michael|title=Curvature and uniformization|journal=[[Israel Journal of Mathematics]]|volume= 130|year=2002|pages= 323–346|doi=10.1007/bf02764082|doi-access=free|arxiv=math/0105016|s2cid=7192529}}
*{{citation|last=Struwe|first= Michael|title=Curvature flows on surfaces|journal=Ann. Sc. Norm. Super. Pisa Cl. Sci.|volume= 1|year=2002|pages= 247–274|url=http://eudml.org/doc/84470}}