The Ricci flow on the 2-sphere

  title={The Ricci flow on the 2-sphere},
  author={Bennett Chow},
  journal={Journal of Differential Geometry},
  • B. Chow
  • Published 1991
  • Mathematics
  • Journal of Differential Geometry
The classical uniformization theorem, interpreted differential geomet-rically, states that any Riemannian metric on a 2-dimensional surface ispointwise conformal to a constant curvature metric. Thus one can con-sider the question of whether there is a natural evolution equation whichconformally deforms any metric on a surface to a constant curvature met-ric. The primary interest in this question is not so much to give a newproof of the uniformization theorem, but rather to understand… 
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