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arXiv · 1810.08934

On the $κ-$solutions of the Ricci flow on noncompact 3-manifolds

Liang Cheng·Anqiang Zhu
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Abstract

In this paper we prove that there is no $κ$-solution of Ricci flow on 3-dimensional noncompact manifold with strictly positive sectional curvature and blow up at some finite time $T$ satisfying $\int^T_0 \sqrt{T-t} R(p_0,t)dt< \infty$ for some point $p_0$. This partially confirms a conjecture of Perelman.

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Liang Cheng, Anqiang Zhu. 2018-10-21. On the $κ-$solutions of the Ricci flow on noncompact 3-manifolds. https://arxiv.org/abs/1810.08934

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