Research Article
Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds
https://doi.org/10.21203/rs.3.rs-2789074/v1
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In this paper, we prove a pseudolocality-type theorem for 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 L-complete Ricci flow on the Euclidean space. This partially answers a question proposed by B-L. Chen [5].
2020 Mathematics Subject Classification. Primary 53E20; Secondary 35K45.
pseudo-locality theorem
strong uniquess
noncompact Ricci flow
No competing interests reported.
Editorial decision: Revision requested
11 Mar, 2025
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First submitted to journal
07 Apr, 2023
You are reading this latest preprint version