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<title>Jing-Bin Cai — Neckpinch</title><link>https://neckpinch.com/authors/jing-bin-cai/</link><description>New arXiv papers by Jing-Bin Cai, from Neckpinch</description>
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<item><title>The Ricci-DeTurck flow on complete manifolds</title><link>https://neckpinch.com/papers/2603.22834/</link><guid isPermaLink="false">arxiv:2603.22834</guid><pubDate>Tue, 24 Mar 2026 00:00:00 GMT</pubDate><description>Jing-Bin Cai, Bing Wang — Based on the framework of Koch-Lamm and tensor heat kernel estimates, we obtain a uniform proof of the short-time existence, uniqueness, and continuous dependence for Ricci flows starting from a complete Riemannian metric with bounded curvature. A new ingredient is an effective continuous dependence estimate without the assumption of injectivity radius lower bound.</description><category>Ricci flow</category><category>Heat kernel</category><category>Stability &amp; uniqueness</category><category>Boundaries &amp; non-compact</category><category>Harmonic maps &amp; DeTurck trick</category></item>
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