Dimensional reduction and the long-time behavior of Ricci flow
classification
🧮 math.DG
keywords
flowriccilikesolutionapproachesbehaviorcovercurvatures
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If g(t) is a three-dimensional Ricci flow solution, with sectional curvatures that decay like the inverse of t and diameter that increases at most like the square root of t, then the pullback Ricci flow solution on the universal cover approaches a homogeneous expanding soliton.
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