Graduate Seminar
Stability of Euclidean space under Ricci flow
Miles Simon
20 Nov 2006, 16:00 – 18:00
We study the Ricci flow and Ricci-DeTurk flow of Riemannian metrics which are C0 and Lp close to the Euclidean metric on 
. We show that the Ricci-DeTurk flow (using the Euclidean metric as the fixed background metric) of such a metric exists for all time, and that the metric converges to the Euclidean one (in the smooth sense) as time approaches infinity. A similar result is proved for the Ricci flow, although then it is possible that the limit metric is the pull back of the Euclidean metric by a diffeomorphism.
http://geometricanalysis.mi.fu-berlin.de/os/os-ws0607.htm
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