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arxiv: 1007.3146 · v2 · pith:AW6UEU43new · submitted 2010-07-19 · 🧮 math.AP · math.DG

Existence of Ricci flows of incomplete surfaces

Gregor Giesen , Peter M. Topping This is my paper
classification 🧮 math.AP math.DG
keywords existenceflowsincompletericciarbitraryasymptoticbehaviourcases
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We prove a general existence result for instantaneously complete Ricci flows starting at an arbitrary Riemannian surface which may be incomplete and may have unbounded curvature. We give an explicit formula for the maximal existence time, and describe the asymptotic behaviour in most cases.

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