Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds

Liang Cheng; Yongjia Zhang

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arXiv · 2112.07818

Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds

Liang Cheng·Yongjia Zhang

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Abstract

In this paper, we prove a pseudolocality-type theorem for $\mathcal L$-complete noncompact Ricci flow which may not have bounded sectional curvature; with the help of it we study the uniqueness of the Ricci flow on noncompact manifolds. In particular, we prove the strong uniqueness theorem for the $\mathcal L$-complete Ricci flow on the Euclidean space. This partially answers a question proposed by B-L.~Chen.

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BibTeX RIS

Liang Cheng, Yongjia Zhang. 2021-12-15. Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds. https://arxiv.org/abs/2112.07818

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