Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds

Liang Cheng; Yongjia Zhang

Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds

Differential Geometry 2022-12-13 v2

Authors: Liang Cheng , Yongjia Zhang

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.

Keywords

ricci flow pseudolocality noncompact manifolds uniqueness l-complete euclidean space

Cite

@article{arxiv.2112.07818,
  title  = {Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds},
  author = {Liang Cheng and Yongjia Zhang},
  journal= {arXiv preprint arXiv:2112.07818},
  year   = {2022}
}

Related papers

View all related →