Some Topics in the Ricci Flow
Year: 2024
Author: Xiuxiong Chen, Bing Wang
Journal of Mathematical Study, Vol. 57 (2024), Iss. 3 : pp. 379–397
Abstract
The Ricci flow plays an essential role in modern geometric analysis. In this short note, we only survey some special topics of this broad and deep field. We first survey some convergence results of the Ricci flow and the Kähler Ricci flow. In particular, we explain the basic idea in the proof of the Hamilton-Tian conjecture. Then we survey the recent progresses on the extension conjecture, which predicts that the Ricci flow can be extended when scalar curvature is bounded.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v57n3.24.09
Journal of Mathematical Study, Vol. 57 (2024), Iss. 3 : pp. 379–397
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Ricci flow Kähler Ricci flow Hamilton-Tian conjecture scalar curvature extension problem.
Author Details
Xiuxiong Chen Email
Bing Wang Email