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- W2153999722 abstract "The intention of this thesis is to give a survey of instantaneously complete Ricci flowson surfaces, focussing on the existence and uniqueness of its Cauchy problem. Weprove a general existence result for instantaneously complete Ricci flows starting atan arbitrary Riemannian surface which may be incomplete and may have unboundedcurvature. We give an explicit formula for the maximal existence time, and describethe asymptotic behaviour in most cases. The issue of uniqueness within this class ofinstantaneously complete Ricci flows is still conjectured but we are going to describethe progress towards its proof. Finally, we apply that new existence result in order toconstruct an immortal complete Ricci flow which has unbounded curvature for all time." @default.
- W2153999722 created "2016-06-24" @default.
- W2153999722 creator A5005150311 @default.
- W2153999722 date "2012-06-01" @default.
- W2153999722 modified "2023-09-23" @default.
- W2153999722 title "Instantaneously complete Ricci flows on surfaces" @default.
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