Curvature and gap theorems of gradient Ricci solitons
- A+
：Pak-Yeung Chan (美国: University of California –San Diego）
：2023-06-08 10:00
：腾讯会议ID：740-861-162（密码：135799）
报告人：Pak-Yeung Chan（美国：University of California–San Diego）
时 间：2023年6月8日上午10:00
地 点：腾讯会议ID：740-861-162（密码：135799）
内容摘要:
Ricci flow deforms the Riemannian structure of a manifold in the direction of its Ricci curvature and tends to regularize the metric. Ricci solitons are special solutions to the Ricci flow and arise naturally in the singularity analysis of the flow. We shall talk about some curvature and entropy gap theorems of gradient Ricci solitons. In the second part of the talk, we shall discuss an optimal gap theorem on nonnegatively curved manifolds with small average curvature decay. This talk is based on joint works with Zilu Ma and Yongjia Zhang, and Man-Chun Lee
个人简介：
Pak-Yeung Chan (陈柏扬), 加州大学圣地亚哥分校博士后研究员. 2020年于明尼苏达大学取得博士学位. 其研究领域为微分几何与几何分析, 特别是Ricci孤立子的研究. 其论文发表在 J. Reine Angew. Math., IMRN, J. Funct. Anal., Trans. Amer. Math.等期刊上。
联系人：贺飞
