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edited Dec 8, 2019 at 21:31

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I presume you are referring to the Yamabe flow approach to the Yamabe problem, which in 2 dimensions reduces to a Ricci flow. Relevant references include

The Ricci flow on surfaces (1988)
The Ricci flow on the 2-sphere (1991)
The Yamabe flow on locally conformally flat manifolds with positive Ricci curvature (1992)
Global existence and convergence of Yamabe flow (1994)

answered Dec 8, 2019 at 21:24

Carlo Beenakker

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