TY - JOUR
T1 - Some Topics in the Ricci Flow
AU - Chen , Xiuxiong
AU - Wang , Bing
JO - Journal of Mathematical Study
VL - 3
SP - 379
EP - 397
PY - 2024
DA - 2024/10
SN - 57
DO - http://doi.org/10.4208/jms.v57n3.24.09
UR - https://global-sci.org/intro/article_detail/jms/23494.html
KW - Ricci flow, Kähler Ricci flow, Hamilton-Tian conjecture, scalar curvature, extension problem.
AB - <p style="text-align: justify;">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.</p>