Dimensional reduction and the long-time behavior of Ricci flow

John Lott

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arXiv · 0711.4063

Dimensional reduction and the long-time behavior of Ricci flow

John Lott

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Abstract

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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John Lott. 2007-11-26. Dimensional reduction and the long-time behavior of Ricci flow. https://arxiv.org/abs/0711.4063

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