几乎欧几里德非紧流形上Ricci流的伪局域性和唯一性

IF 2.6 1区数学 Q1 MATHEMATICS

Annals of Pde Pub Date : 2025-07-08 DOI:10.1007/s40818-025-00216-0

Liang Cheng, Yongjia Zhang

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引用次数: 0

摘要

本文证明了可能没有有界截面曲率的\(\mathcal L\) -完全非紧Ricci流的一个伪局域型定理；利用它研究了非紧流形上Ricci流的唯一性。特别地，我们证明了在欧几里德空间上\(\mathcal L\) -完全Ricci流的强唯一性定理。这部分回答了B-L提出的问题。[J] .地质学报，2009(2):363-382。

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Pseudolocality and Uniqueness of Ricci Flow on Almost Euclidean Noncompact Manifolds

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 (J Differ Geom 82(2):363–382, 2009).

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来源期刊

Annals of Pde Mathematics-Geometry and Topology

CiteScore

3.70

自引率

3.60%

发文量