On the Conditions to Extend Ricci Flow

Details On the Conditions to Extend Ricci Flow On the Conditions to Extend Ricci Flow

2007-04-23

arxiv.org/abs/0704.3018v2

Mathematics

Differential Geometry

Scientific paper

Along a Ricci flow solution on a closed manifold, we show that if Ricci
curvature is uniformly bounded from below, then a scalar curvature integral
bound is enough to extend flow. Moreover, this integral bound condition is
optimal in some sense.

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