Abstract
We show uniqueness of Ricci flows starting at a surface of uniformly negative curvature, with the assumption that the flows become complete instantaneously. Together with the more general existence result proved in [10], this settles the issue of well-posedness in this class.
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Giesen, G., Topping, P.M. Ricci flow of negatively curved incomplete surfaces. Calc. Var. 38, 357–367 (2010). https://doi.org/10.1007/s00526-009-0290-x
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DOI: https://doi.org/10.1007/s00526-009-0290-x