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arXiv · 2603.22834

The Ricci-DeTurck flow on complete manifolds

Jing-Bin Cai·Bing Wang
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Abstract

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.

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Jing-Bin Cai, Bing Wang. 2026-03-24. The Ricci-DeTurck flow on complete manifolds. https://arxiv.org/abs/2603.22834

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