Reduced Distance Based at Singular Time in the Ricci Flow
نویسنده
چکیده
In this paper, we define a reduced distance function based at a point at the singular time T < ∞ of a Ricci flow. We also show the monotonicity of the corresponding reduced volume based at time T, with equality iff the Ricci flow is a gradient shrinking soliton. Our curvature bound assumption is more general than the type I condition.
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