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arXiv · 0711.0558

Reduced distance based at singular time in the Ricci flow

Joerg Enders
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Abstract

In this paper, we define a reduced distance function based at a point at the singular time $T<\infty$ 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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Joerg Enders. 2007-11-05. Reduced distance based at singular time in the Ricci flow. https://arxiv.org/abs/0711.0558

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